A pile of sand is in the shape of a cone. The diameter of the sand pile is 18 feet and the height is 10 feet.
What is the volume of the sand pile?
Use 3.14 for pi.
Enter your answer as a decimal
Answers
v= 3.14 (9*9 ) * 10
=847.8
The volume of pile of sand having diameter of 18 feet and height of 10 feet is 847.8[tex]feet^{3}[/tex].
What is volume?Volume is basically the amount of something which the container can hold in its capacity or the amount of material with the help of which it is formed.
How to determine volume?It is told that the pile of sand is of cone shaped and it is having diameter 18 feet and height 10 feet. So the volume of sand pile will be
Volume=1/3π[tex]r^{2} h[/tex]
Radius=diameter/2
=18/2
=9 feet
Volume=1/3*3.14*[tex]9^{2}[/tex]*10
=1/3*3.14*81*10
=254.34/3
=847.8 [tex]feet^{3}[/tex]
Hence the volume of the sand pile of diameter 18 feet and height 10 feet is 847.8 [tex]feet^{3}[/tex].
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Related Questions
A hair salon charges a fixed rate of $25.00 for a haircut and an additional $15 for any other services. Write a function to model the cost of services at the salon and then evaluate the function to determine the cost for a haircut, shampoo, highlight, and blow dry.
Answers
Answer:
Function : Cost =25 + 15x
Cost for a haircut, shampoo, highlight, and blow dry = $70
Step-by-step explanation:
Hi, to answer this we have to write an equation:
The cost of the services will be equal to the fixed cost for the haircut (25.00) plus the product of the number of additional services (x) and the price of each additional service (15).
Mathematically speaking:
Cost =25 + 15x
To determine the cost for a haircut, shampoo, highlight, and blow dry, we have to substitute x = 3 (because shampoo, highlight, and blow dry are additional services ) in the equation and solve.
Cost = 25+ 15 (3)
Cost = 25+45
Cost = $70
Jana finished 1/4 of her homework at school and 2/3 of it before dinner. How much of her homework has she finished so far?
Answers
1/4×3/3+2/3×4/4
3/12+8/12
11/12
Final answer:
Jana has completed 11/12 or 11 out of 12 of her homework so far.
Explanation:
To find out how much of her homework Jana has finished so far, we need to add together the fractions of her homework completed at school and before dinner.
Jana finished 1/4 of her homework at school and 2/3 of it before dinner.
To add fractions, we need a common denominator. The least common multiple (LCM) of 4 and 3 is 12. So, we can convert both fractions to have a denominator of 12.
1/4 is equivalent to 3/12, and 2/3 is equivalent to 8/12.
Now, we can add the fractions: 3/12 + 8/12 = 11/12.
Therefore, Jana has completed 11/12 or 11 out of 12 of her homework so far.
the statement 2n^2+5n-25=0 opens up because
Answers
____
The statement 2n^2 +5n -25 = 0 defines two values of n.
A $6,300.00 principal earns 6% interest, compounded annually. After 3 years, what is the balance in the account?
Answers
Hope this helped!
To find this answer, you have to start with 6,300 and multiply it by 1.06 three times. We are using 1.06 because we are adding 6% (0.06) onto the total 3 times.
6300 x 1.06 x 1.06 x 1.06 = $7,503.40
OR
6300(1.06)^3 = $7,503.40
The second equation is written as a compound interest equation. You just need to switch the 3 if you want to find the total for a different amount of years.
I hope this helps, Good luck!
Translate three times the sum of a number and five
Answers
number = n
the sum of a number and five: n + 5
3 times the sum of a number and five
3(n + 5) is your answer
hope this helps
Can anyone help me I don’t know how to do this
Answers
y = a(x -h)² +k . . . . . . . . for some stretch factor "a" and vertex (h, k)
1. Vertex = (h, k) = (0, 0). Stretch factor can be found from the given point (x, y).
8 = a(-2 -0)² +0
8 = 4a . . . . . . . . simplify
2 = a . . . . . . . . . divide by the coefficient of "a"
Your equation is y = 2x².
Note the above method for solving these problems. It repeats.
2. As above, substitute what's given and solve for what's not.
3 = a(1 -2)² +0
3 = a
Your equation is y = 3(x -2)²
3. Repeat
-4 = a(-5 +3)² +0
-4 = 4a
-1 = a
Your equation is y = -(x +3)²
4. Are you seeing the pattern yet?
0 = a(-1 -0)² +1
0 = a +1
-1 = a
Your equation is y = -x² +1
5 & 6. You know that if you want a zero (x-intercept) to be located at x=a, then a factor of the quadratic will be (x -a). Multiply the factors together to get your quadratic function.
5. y = (x -0)*(x -2) = x² -2x
6. y = (x +5)*(x -5) = x² -25 . . . . . . . . . . you should recognize this "special form", the factoring of the difference of squares
If 3x + 8 = 5x - 6, then what is the value of 10x?
Answers
3x + 8 - 5x = 5x - 6 - 5x
-2x + 8 = -6
-2x + 8 - 8 = -6 - 8
-2x = -14
-2x/-2 = -14/-2
x = 7
10x
10 (7)
70
The value of 10x is 70. The value of x is 7.
is -3 larger than -2?
only answer if you know and not for the points
Answers
Your answer is no.
-3 is not larger than -2. This is because the larger the number is with a negative sign, the smaller the number is!
Hope this helps you.
Have a great day!
No.
-3 is not greater than -2.
When we are speaking about negative numbers, the "lower" the number is, the greater. -2 is greater than -3 because it is closer to the positive side than negative side. -3 is farther away from 0. But as for -2, is alot closer to 0 than -3.
Your answer, No.
I hope this helps you!
angle measure represented by 4.5 rotations counterclockwise
Answers
now, a full rotation, namely a "revolution", is a full go-around the circle, that'd be 360°, now if you 4 times around, that be 4*360 or 1440°, and if you go an extra 0.5 or half a circle, that'd be 180°, that will land us on 1440° + 180°.
how is jimthompson so smart?
Also can you please help me with that question.
I got everything except for the Euler Diagram.
Answers
Step 1) Draw a large circle and label it circle A
Step 2) Inside this large circle, draw a smaller circle and label it circle B
Circle A will represent the set of all obtuse angles (any angles that are between 90 and 180 degrees). Circle B represents only one item: the angle value of 150 degrees. All of circle B is inside circle A because 150 degrees is between 90 and 180; therefore, 150 is obtuse. This is simply the definition of what "obtuse" means.
So if you threw a dart and it landed in circle B, then you know for sure it landed in circle A as well. This is effectively saying "if you get a 150 degree angle, then you know its obtuse"
This is a visual way to back up the conditional statements you used earlier and help add more evidence that the statement "A 150 degree angle is an obtuse angle" is a valid statement.
In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 7 in?
Enter your answer in the box.
Answers
The length of the hypotenuse is 14in
SOH CAH TOA identityGiven a 30-60-90 triangle where:
Length of the shorter leg = 5cm (adjacent)
The hypotenuse is what we need..
[tex]cos \theta = \frac{adj}{hyp} \\ [/tex]
Substitute the given parameters
[tex]cos 60 = \frac{7}{h}\\ h =\frac{7}{cos 60}\\ h = \frac{7}{0.5}\\ h = 14in\\ [/tex]
Hence the length of the hypotenuse is 14in
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I need help with this as well
Answers
n 20 ------------> BC/CD=[AC-AB]/[AD-AC]=(6-4)/(9-6)=2/3
n 21-------------> BD/AE=[AD-AB]/[AE]=(9-4)/(12)=5/12
n 22 7 and 28 find the geometric mean of the two number
step 1
Multiply the two numbers together:
28*7=196
step 2
take the square root:
sqrt(196)=14
the answer is 14
n 23 Simplify the ratio 10 ft/30 in---> divided between 2 both members
5 ft/15 in-----> divided between 5 both members ---> 1 ft/3 in
n 24
if AB=4 -------> AB~FG
FG=8
then
AB*factor=FG-------- > 4*factor=8-- > factor=8/4=2
the figure ABCDE is half of the figure FGHJK
then
BC=4
AE=CD=5
and
ED=6
therefore
the perimeter=[4+4+5+5+6]=24 units
Russ is constructing the inscribed circle for △ABC . He has already used his compass and straightedge to complete the part of the construction shown in the figure.
What could be his next step?
A)Use the straightedge to draw a line through point N that intersects BC¯¯¯¯¯ .
B) Use the straightedge to draw the line through points M and P.
C) Place the point of the compass on point C and draw an arc that intersects AC¯¯¯¯¯ and BC¯¯¯¯¯ .
D)Place the point of the compass on point N and draw an arc that intersects AB¯¯¯¯¯ and BC¯¯¯¯¯ .
Answers
Place the point of the compass on point C and draw an arc that intersects AC¯¯¯¯¯ and BC¯¯¯¯¯ .
Answer: The answer is (C) Place the point of the compass on point C and draw an arc that intersects AC and BC.
Step-by-step explanation: Given that Russ is constructing the inscribed circle for △ABC and he has already used his compass and straightedge to complete the part of the construction shown in the given figure. We are to find his next step.
Since Russ has already constructed the angle bisector of ∠B, so next he shoul construct the angle bisector of either ∠A or ∠C. Since the steps for constructing angle bisector of ∠A are not in the options, so he should go with ∠C. For that, he must place the point of the compass on the point C and draw an arc that intersects AC and BC.
Thus, (C) is the correct option.
A wood frame costs $1.50. Use a property to write an equivalent expression for the cost of a wood frame.
Answers
Let the cost of a linear foot of the frame = y
Let the inside dimension of the length of the frame = a
Let the inside dimension of the width of the frame = b.
The total length of the frame = 2*a + 4x
The total width of the frame = 2b
The total amount of the frame in feet is (2a + 4x + 2b)*y = Cost
If this is incorrect please leave a message on my home page.
Please help, I’m kinda confused
Answers
The function below can be used to calculate the cost of making a long distance call, f(m), which is based on a $2.50 initial charge and a fee of $.12 per minute, m, that the call lasts. If Natalie paid $6.82 for one call, how many minutes long was it?
Answers
if Natalie paid $6.82
6.82 = 2.5 + 0.12m
0.12m = 6.82 - 2.5
0.12m = 4.32
m = 4.32 ÷ 0.12
m = 36
The call was 36 minutes long.
Which represents the explicit formula for the arithmetic sequence
Answers
7-3(n-1) = 7 - 3n + 3 = -3n +10 [tex]f(n) = -3n+10[/tex]
So the answer is D.
Gina pumps 40 cubic inches of air per second into a balloon. The function below shows the total amount of air f(t) inside the balloon after t seconds. f(w) = 40t + 5 Which statement best describes the y-intercept of the graph of the function?
Answers
Mathematically we have:
For t = 0:
f (0) = 40 (0) + 5
f (0) = 0 + 5
f (0) = 5
Answer:
The intersection with the y-axis represents the total amount of initial air before starting to pump air.
The initial air quantity is:
5 in ^ 3
Hey can somebody help me? I know it seems easy but I forgot the process on how to do this. Thanks in advance!
---------------------------------
1 1/2 - 1/2 = ???
Show your work please so I understand
Answers
Sorry if this was a bit unclear, I did my best to explain ;)
Hope this helps!
An artist drew a rectangle. the artist then modified the rectangle so thatthe length ofthe rectawngle increased by 30 percent and the width of the rectangle decreased by 40 percent. after the modification, what was the percent decrease in the area of the rectangle?
Answers
length - L
width - W
area = L*W = LW
after the modification, new dimensions are
length increased by 30 %
Length = L * 1.3 = 1.3L
Width = W * 0.6 = 0.6W
new area = 1.3L * 0.6W
= 0.78LW
the percent decrease in area
decrease % = (difference in area)/original area * 100
= (LW - 0.78LW)/LW * 100
= 0.22LW/LW * 100
= 22%
percent decrease is 22%
What is the value of the missing number in the sequence below? 4, 12, 36,___, 324, 972, 2916
Answers
The missing number will be 108. The sequence is; 4, 12, 36,108, 324, 972, 2916.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The given sequence is;
4, 12, 36,108, 324, 972, 2916
It is observed from the sequence that the following sequence follow a specific rule in which the progressive term is multiplied by a factor of 3.
[tex]\rm 4 \times 3 = 12 \\\\ 12 \times 3 = 36 \\\\ 36 \times 3 =108[/tex]
Hence, the missing number will be 108.
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Which of the following decimal numbers equals 4 thousand, 9 hundreds, 2 tens, and 6 ones?
Answers
decimal numbers equals
4 thousand---------> 4000
9 hundreds--------> 900
2 tens-----------> 20
6 ones-------> 6
so
[4000+900+20+6]=4926
the answer is 4926
Dione has 3 rolls of pennies containing 50 coins each, 4 rolls of nickels containing 40 coins each, 5 rolls of dimes containing 50 coins each, and 6 rolls of quarters containing 40 coins each. How much money does she have?
A. $106.20
B. $17.50
C. $8.00
D. $94.50
Answers
value of penny - $ 0.01
value she has from pennies - $0.01 x 150 = $1.50
total number of nickels she has - 4 x40 = 160
value of nickel - $ 0.05
value she has from nickels - $0.05 x 160 = $8
total number of dimes she has - 5 x 50 = 250
value of dime - $ 0.10
value she has from dimes - $0.10 x 250 = $25
total number of quarters she has - 6 x 40 = 240
value of quarter - $ 0.25
value she has - $ 0.25 x 240 = $ 60
total amount of money she has = 1.50 + 8 + 25 + 60
money she has = $ 94.50
correct answer is D
How do I solve for h
Answers
.. AD = AC -DC = 20 -4
.. AD = 16
Then
.. (long leg)/(short leg) = AD/DB = BD/DC
.. 16/h = h/4
.. h^2 = 64
.. h = 8
Selection D is appropriate.
_____
You may see this again. The altitude (h) from the right angle in a right triangle is the geometric mean of segments AD and DC. That is,
.. h = √((AD)*(DC))
Where is the vertex of the parabola?
y = x2 + 6x + 7
above the x-axis
on the x-axis
on the y-axis
below the x-axis
Answers
Answer:
below the x axis
Step-by-step explanation:
i took the test
Easy Algebra 2 Rational Expressions question
Answers
y - 3 = 0
y = 3 - this is where the fraction is undefined (or nonpermissible)
A set of 5 numbers has a mode of 12 a median of 11 a mean of 10 what could the numbers be?
Answers
The mode is 12. The value 12 shows up the most times. Let's say it shows up twice. So far the data set is {11, 12, 12}
Let's introduce two more numbers x and y
The new data set is {x, y, 11, 12, 12}
Add up the five values and then divide by 5. We want this result to be equal to 10
(x+y+11+12+12)/5 = 10
(x+y+35)/5 = 10
x+y+35 = 10*5
x+y+35 = 50
x+y = 50-35
x+y = 15
So we don't know what x or y is, but we know that they must add to 15. So all you have to do is list two numbers that add to 15. One such pair is x = 6 and y = 9. Another pair is x = 7 and y = 8. There are infinitely many possibilities if you can use any real number.
So one possible set is {6, 9, 11, 12, 12}
Another possible set is {7, 8, 11, 12, 12}
At the beginning of an experiment, there are 600 grams of contaminants. Each hour, half of the contaminants are filtered out. How many grams of contaminants remain after 4 hours?
Answers
Second hour - 150
Third hour - 75
Fourth hour - 37.5
3/5, give the equivalent numerator if the denominator is 80
3
16
48
Answers
A child walks due east on the deck of a ship at 4 miles per hour.
The ship is moving north at a speed of 12 miles per hour.
Find the speed and direction of the child relative to the surface of the water.
Speed = mph
The angle of the direction from the north = (radians)
i have the speed i couldn't find the direction !,
Answers
Therefore, to get the speed relative to the surface you have to sum the two vectors, which means you can apply the Pythagorean theorem to find the hypotenuse, having the two legs.
h = √(4² + 12²) = √160 = 4√10 = 12.65mph
In order to find the direction, you need to use trigonometry:
- the sine of an angle is given by the ratio between the opposite side divided the hypotenuse;
- the cosine of an angle is given by the ratio between the adjacent side divided by the hypotenuse.
You can use either one, I will show you both:
sinα = O / H
inverting the formula: α = arcsin (O / H) = sin⁻¹ (O / H)
these two forms are equivalent.
Similarly:
cosβ = A / H
β = arccos (A / H) = cos⁻¹ (A / H).
Substituting your numbers:
α = sin⁻¹ (12 / 12.65) = sin⁻¹ (0.9486) = 1.25rad
β = cos⁻¹ (4 / 12.65) = cos⁻¹ (0.3162) = 1.25rad
As you can see, α = β so you can use either formula.
Your answer will then be: the child is moving relative to the surface of the water with a speed of 12.65mph at a direction of 1.25rad from East towards North.
ATTENTION!
If you drew first the vector towards North and then the one towards East, you get an equivalent triangle, which is rotated by 180° respect to the previous one. This way, what you earlier called Opposite is now Adjacent and vice-versa, but the formulas are still valid.
You will get:
α = sin⁻¹ (4 / 12.65) = sin⁻¹ (0.3162) = 0.32rad
β = cos⁻¹ (12 / 12.65) = cos⁻¹ (0.9486) = 0.32rad
And your answer will be: the child is moving relative to the surface of the water with a speed of 12.65mph at a direction of 0.32rad from North towards East.