n cold climate areas, trucks are used to disperse salt on the roads in order to de-ice the roads, making them safe for travel. In some cases, cone- shaped sheds store the salt during the off-season, or until the roads need to be de-iced. This large salt storage shed sits 12 feet above the ground and holds approximately 51.4 cubic feet of salt. To the nearest hundredth of a foot, what is the radius of the large storage shed? Use 3.14 for . In your final answer, include all of your calculations.
Answers
You will substitute in the information you know and then solve for the radius(r).
Please see the attached picture for the steps necessary to get an approximate radius of 2.02 ft as the radius.
The radius of the large storage shed is approximately 2.023 feet to the nearest hundredth of a foot.
To find the radius of the large storage shed, we need to use the formula for the volume of a cone, which is given by: [tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
where V is the volume, r is the radius of the base, h is the height and [tex]\( \pi \)[/tex]is approximately 3.14. We are given that the volume V is 51.4 cubic feet and the height h is 12 feet. We need to solve for r.
First, let's rearrange the formula to solve for r: [tex]\[ r^2 = \frac{3V}{\pi h} \][/tex]
Now, plug in the given values:
[tex]\[ r^2 = \frac{3 \times 51.4}{3.14 \times 12} \][/tex]
[tex]\[ r^2 = \frac{154.2}{37.68} \][/tex]
[tex]\[ r^2 \approx 4.093 \][/tex]
Now, take the square root of both sides to find r:
[tex]\[ r \approx 2.023 \][/tex]
So, the radius of the large storage shed is approximately 2.023 feet to the nearest hundredth of a foot.
Related Questions
Cylinders A and B are congruent. Cylinder A has a volume of 27π cm3 and a height of 3 cm. What is the area of the base of cylinder B?
Answers
Answer:
9pi
Step-by-step explanation:
Determine if the number is written in scientific notation. If not, explain. 4.8 × 1007
Answers
HELP WILL MARK BRAINLIEST!!!!!!!!
Three angles in a quadrilateral measure 31º, 83º, and 146º. What is the measure of the fourth angle?
A. 82º
B. 97º
C. 100º
D. 112º
Answers
I'm going to represent x as the degrees we need to find:
31+83+146+x=360
*add like terms*
260+x=360
x=100
The degrees of the angle is 100 degrees. Therefore, your answer is choice C.
You had $50. You spent 10% of the money on clothes, 20% on games, and the rest on books. How much was spent inborn books?
Answers
Answer:
$35 was spent on books
Step-by-step explanation:
We must figure out the percent out of $50 that the books are worth
This is 70%
Now we need to figure out how much 10% is out of $50
50 divided by 10
10 percent of the books is 5 dollars
Now to find 20% we do 5+5=10 because it is just x2 of 10%
So we have spent 15 dollars on clothes and games
So now all we must do is 50-15=35
This is how we get our answer!
Pls mark me brainliest! Hope this helps :D
After spending 10% on clothes 20% on games I spent $35 on books.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, You had $50. You spent 10% of the money on clothes, 20% on games, and the rest on books.
Therefore, The expression that represents the context is,
$(50 - (10/100)×50 - (20/100)×50).
= $(50 - 5 - 10).
= $35.
SO, $35 she spent on books.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
Which of the following best describes the expression 5(x + 2)?
The sum of constant factors 5 and x + 2
The product of constant factors 5 and x + 2
The sum of a constant factor 5 and a 2-term factor x + 2
The product of a constant factor 5 and a 2-term factor x + 2
Answers
hope this helps,
QueenofLovers123
Answer:
5 is a constant. (it has no variables)
x + 2 is not a constant. It does, however, have two terms, x and 2.
(terms are seperated by addition/subtraction)
This rules out a and b.
As for c... 5(x+2) implies multiplication, which would be a product, not a sum.
d. The product of a constant factor 5 and a 2-term factor x+2
Step-by-step explanation:
50 POINTS AND BRAINLIEST! :) :) :)
Write an equation that you can use to solve for x.
Enter your answer in the box.
Answers
So, the angle measuring 100 degrees is supplementary to the angle that is adjacent to it, next to the one that is 60 degrees.
180-100= 80
It is 80 degrees.
80+60+x= 180
140+x= 180
Subtract 140 on both sides.
x=40
40 is the answer.
I hope this helps!
~kaikers
180-140=40
X=40
This would help
Plz help with this! Thx for the help
Answers
Find an angle at home. Measure the angle. Record the measure. Classify the angle.
Answers
Answer:
a table leg it is 90 degreges from the floor it is a right angle.
Step-by-step explanation:
if you roll a fair six-sided number cube twice. what is the probability that the first roll is a 5 and the second is a 6?
Answers
answer is 1/36
Write a linear equation to represent her distance at any time
Answers
PLZ GIVE ME BRANLIEST
The relation {(-1, 4), (2, 7), (3, 7)} is a function. True False
Answers
Answer:
True
Step-by-step explanation:
I did the quiz and got 100%
HELP Me A marker is randomly selected from a drawer that contains 20 green, 44 orange, and 30 blue markers. Which statement is true?
P(orange)≈0.53
P(green)≈0.21
P(blue)≈0.41
Thank you
Answers
44/94 as a decimal is .468 so the first one isn't true
green is 20/94 as a decimal is 0.21
so the second option or the green one is true
Answer:
P(green)=0.21
Step-by-step explanation:
I got it right on a test :)
Please consider brainliest (I never got brainliest before)
help with this one plzzz?
Answers
the choice is D
If x = 12 cm, y = 8 cm, z = 10 cm, and w = 3 cm, what is the surface area of the geometric shape formed by this net?
A. 288 cm2
B. 144 cm2
C. 192 cm2
D. 160 cm2
Here's the shape: https://media.studyisland.com/pics/127804pic7.png
Answers
3 rectangles and 2 triangles (or 4 right triangles).
View attachment
btw I think you gave the wrong measurements probs cuz it doesn't come up with any of the options for the answer but I know it is 186 cm^2 for sure...
Cost for bowling at Blue Oaks bowling alley are $2.50 for shoes and $4.25 for each game bowled. Austin bowled 5 games. what was his total cost to bowl?
SOLVE FOR X AND PLEASE SHOW WORK!!!!
Answers
2.5 + 4.25(5) = 2.5 + 21.25
= 23.75
Hope this help
a 12 foot tall building casts on 8 foot long long shadow. how long of a shadow will a 5 foot tall women have
Answers
Using the concept of similar triangles and the given ratio of a building's height to its shadow, it was calculated that a 5-foot tall woman would cast a shadow that is approximately 3.33 feet long.
Explanation:The question deals with similar triangles where the ratio of the height of an object to the length of its shadow is constant if the sun's rays are considered to be parallel. Given that a 12-foot tall building casts an 8-foot long shadow, we can use this ratio to determine the length of the shadow that a 5-foot tall woman will cast.
First, find the ratio of the building's height to its shadow's length:
Height of the building / Length of shadow = 12 feet / 8 feet = 1.5Since the ratio should remain the same, we can set up a proportion for the woman:
Height of the woman / Length of her shadow = 5 feet / x (the unknown length of the shadow)Now solve for 'x' using cross multiplication:
12 / 8 = 5 / x12*x = 5*8x = (5*8) / 12x = 40 / 12x = 3.33 feet (approximately)Therefore, the shadow cast by the 5-foot tall woman will be approximately 3.33 feet long.
a cylindrical container can hold about 1,256 cubic inches of water.the diameter of the cylinder is 10 inches long.approximate the height of the cylinder to the nearest inch.use 3.14 to approximate the value for pi
A.16
B.80
C.40
D.4
Answers
Answer: A. 16 inches
Step-by-step explanation:
The volume of the cylinder is given by :-
[tex]\text{Volume}=\pi r^2h[/tex]
Given: Diameter of cylinder = 10 inches
Thus, radius of cylinder = [tex]\frac{10}{2}=5\ inches[/tex]
Let h be the height of the cylindrical container.
Then , The volume of the cylindrical container is given by :-
[tex]1256=\pi (5)^2h\\\\\Rightarrow\ h=\frac{1256}{5^2\pi}\\\\\Rightarrow\ h=\frac{1256}{25\times3.14}\\\\\Rightarrow\ h=16}[/tex]
Hence, the height of the cylindrical container = 16 inches.
Answer:
16 in.
Step-by-step explanation:
Round to the nearest ten thousand: 68,231
A. 69,000
B. 70,000
C. 68,000
D. 60,000
Answers
So the answer is choice B
Another way to see this answer is to drop everything after the 6 (which is what is in the ten-thousands digit place) and replace all of those dropped digits with 0s. We add 1 to the digit we didn't get rid of because the 8 after the 6 is larger than 5
Your answer would be (68,00) because when rounding to the nearest 10th, we basically look at the tenth place.
6(8).
Number 8 is the 10th place, and it is over 5 to pass to line.
It goes right back up.
Your answer would be the (option b)
A. 69,000
B. 70,000
C. 68,000
D. 60,000
I hope this helps you!
A cylindrical rain barrel with a diameter of 2.5 feet and a height of 3.5 feet is filled to a height of 1.5 feet. How many more gallons of water can the barrel hold? Round your answer to the nearest whole number. (1 ft3≈7.5 gal)
Answers
Subtract these two amounts to find the total amount of water or can still hold.
Then convert this amount to gallons.
1. V = pi x r^2 x h
3.14 x 1.25^2 x 3.5
V = 17.17 cubic feet
2. Same formula
3.14 x 1.25^2 x 1.5
V = 7.36 cubic feet
3. 17.17 - 7.36 = 9.81 cubic feet
4. 9.81 x 7.5 = 73.575 gallons or approximately 74 gallons.
HELP ASAP PLEASEEEE WILL GIVE BRAINLIEST!
Answers
ab i think that is the answer
Figure ABCD is a parallelogram. which of the following must be true.
Answers
In a parallelogram opposite sides are parallel to each other.
So side AD is parallel to side BC
From the above four options as we can see in option C we have AD║ BC.
Option C is the correct answer.
Paul has a board that is 1,200 cm long. Which of the following measures is equivalent to 1,200 cm?
a. 0.12 km
b. 12 m
c. 120 m
d. 120,000 mm
Answers
Therefore
12m = 1200 cm
answer is B
Answer:
The correct answer is B.
Step-by-step explanation:
Its B because 1m = 100m
12m = 1,200
at the park, 4/7 of the children are boys. if there are 8 boys at the park, how many are girls?
Answers
Let the total number of children be x.
4/7x = 8
1/7x = 8 ÷ 4
1/7x = 2
3/7x = 2 x 3
3/7x = 6
There are 6 girls.
How do you find the value for x in the problem?
Answers
.. 30/18 = (20 +x)/20
.. 20*(30/18) -20 = x . . . . multiply by 20, subtract 20
.. 33 1/3 -20 = x . . . . . . . . evaluate the product
.. 13 1/3 = x
can their be smaller integer than 0.5
Answers
helllllllllllp meeeeeee
Answers
Proportionality constants are usually expressed as fractions, so lets convert 0.25 to a fraction. To do that we are going to add the denominator 1 to our decimal, and then we will multiply both numerator and denominator by ten for every number after the decimal point:
[tex] \frac{0.25}{1} [/tex]
[tex] \frac{0.25}{1} . \frac{100}{100} = \frac{75}{100} [/tex]
Finally, we can simplify our fraction:
[tex] \frac{25}{100} = \frac{1}{4} [/tex]
We can conclude that the constant of proportionality in text of the cost per text is 1/4
Kylie is on a swing the swing moves back and forth every 5 seconds. About how many minutes would it take Kylie to go back and forth one hundred times? Can you help me figure the minutes out in a fraction?
Answers
The fraction of the total time in minutes is therefore 8 1/3 minutes, which is equal to 25/3 minutes when expressed as an improper fraction.
To determine the amount of time it would take for Kylie to swing back and forth 100 times, we must first understand that the period of the swing, the time it takes to complete one full cycle back and forth, is 5 seconds. Therefore, we can calculate the total time for 100 swings by multiplying the period by the number of swings:
Total time (seconds) = Period (seconds per swing) * Number of swings
Total time (seconds) = 5 seconds/swing * 100 swings
Total time (seconds) = 500 seconds
To convert seconds into minutes, we divide by the number of seconds in a minute, which is 60:
Total time (minutes) = Total time (seconds) / 60 seconds/minute
Total time (minutes) = 500 seconds / 60 seconds/minute
Total time (minutes) = 50/6 or approximately 8 minutes and 20 seconds.
The fraction of the total time in minutes is therefore 8 1/3 minutes, which is equal to 25/3 minutes when expressed as an improper fraction.
Marlene's taxable income is $95,000. Use this tax schedule to calculate the total amount she owes in taxes. $12,888.75
Answers
If we are using the same tax schedule then $95,000 belongs to this bracket:
Over - But not over - of the excess over -
$77,100 but not over $160,850.. 15,698.75 plus 28% 77,100
Get the 28% of the difference between $95,000 and $77,100:
$95,000 - $77,100 = $17,900
$17,900 * .28 = $5,012
$15,698.75 + $5,012 = $20,710.75
Which number is IRRATIONAL? A) 64 B)81 C) 96 D) 144
Answers
ANSWER ASAP WILL GIVE BRAINLIEST Boris solves the system of equations using the linear combination method.
3x+4y=−87x−3y=6
Which steps would allow him to eliminate the y terms in the system of equations?
Multiply 3x+4y=−8 by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.
Multiply 3x+4y=−8 by 7. Multiply 7x−3y=6 by −3 . Add the resulting equations together.
Multiply 3x+4y=−8 by 4. Multiply 7x−3y=6 by 3. Add the resulting equations together.
Multiply 3x+4y=−8 by −3 . Multiply 7x−3y=6 by 7. Add the resulting equations together.
Answers
Multiply 3x+4y=−8 by 3. Multiply 7x−3y=6 by 4:
{3x + 4y = -8 |*3
{7x - 3y = 6 |*4
{9x + 12y = -24
{28x - 12y = 24
Add the resulting equations together:
37х = 0
Answer:
a is the answer
Step-by-step explanation:
i did the test