The figure is a cylinder with a sphere within it.
To the nearest whole number, what is the approximate volume of the shaded part of this figure?
Use 3.14 for Pi.
Drag the correct value to the box.
Answers
Answer:
[tex]2713cm^3[/tex]
Step-by-step explanation:
From the given figure, the radius of the cylinder is=8cm, height of cylinder is =18cm and the radius of the sphere is= 6cm.
Thus, [tex]Volume of cylinder={\pi}r^2h[/tex]
[tex]V=3.14(8)^{2}(18)[/tex]
[tex]V=3.14(64)(18)[/tex]
[tex]V=3617.28cm^3[/tex]
And [tex]volume of sphere=\frac{4}{3}{\pi}r^3[/tex]
[tex]V=\frac{4}{3}(3.14)(6)^3[/tex]
[tex]V=\frac{4}{3}(3.14)(216)[/tex]
[tex]V=904.31cm^3[/tex]
Thus, the volume of the shaded part of the figure=Volume of cylinder-volume of sphere
⇒volume of the shaded part of the figure=[tex]3617.28-904.31[/tex]
=[tex]2712.97[/tex]
≈[tex]2713cm^3[/tex]
Thus,volume of the shaded part of the figure=[tex]2713cm^3[/tex]
Related Questions
Mrs. Lewis make some orange juice after making another 850 mL of juice she now has 4 880 mL of orange juice how much orange juice did mrs Lewis make up first
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write 27% percent as a fraction in its simplist form
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Attila the Hun was a ruler of the Hunnic Empire. The Romans feared him greatly until his death since he made quite a habit of invading. The Romans no longer feared him after his death in 453. Let x represent any year. Write an inequality in terms of x and 453 that is true only for values of x that represent years after the year that Attila died.
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Also, if it helps, I think of inequalities as an alligator's mouth, trying to eat the bigger quantity.
Hope this helps!
Ben has Type 180 word in can type 30 words per minute. Millie has Type 60 words and can type 50 word per minute. How many minutes will it take Millie to catch up with Ben?
Answers
If x= minutes,
180+30x=60+50x
120=20x
6=x
180+30x=60+50x
Now let’s subtract 60 from each side.
120+30x=50x
Let’s subtract 30x from each side.
120=20x
Let’s divide each side by 20.
6=x
It will take 6 minutes for Millie to catch up with Ben.
Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones then the last and the increase is the same number in each case. Robbie and Cameron's combined total number of scones is three sevenths of the total of Louis, Tom and Charlie. How many scones does each boy buy?
Answers
Let's use n for amount that each following customer increases.
We have:
Robbie=x
Cameron=x+n
Louis=x+n+n
Tom=x+n+n+n
Charlie=x+n+n+n+n
We know that they bought total of 60 scones.
Robbie + Cameron + Louis + Tom + Charlie = 60
x + x+n + x+n+n + x+n+n+n + x+n+n+n+n = 60
5x + 10n = 60 /:5
x + 2n = 12
We are also given this information:
(Robbie + Cameron) = 3/7 * (Louis + Tom + Charlie)
We insert the equations from above:
(x + x+n) = 3/7 * (x+n+n + x+n+n+n + x+n+n+n+n)
2x + n = 3/7 * (3x + 9n) /*7
14x + 7n = 3* (3x + 9n)
14x +7n = 9x + 27n
We take everything on the left side.
14x + 7n - 9x - 27n = 0
5x - 20n = 0/:5
x - 4n = 0
Now we have two equations:
x + 2n = 12
x - 4n = 0
We solve second one for x and insert it into first one.
x + 2n = 12
x = 4n
4n + 2n =12
6n = 12 /:6
n = 2
x=4*2
x=8
Now we can solve for the amount for each customer.
Robbie=x = 8
Cameron=x+n = 8 + 2 = 10
Louis=x+n+n = 8 + 2 + 2 = 12
Tom=x+n+n+n = 8 + 2 + 2 + 2 = 14
Charlie=x+n+n+n+n = 8 + 2 + 2 + 2 + 2 = 16
Fabric comes in rolls that are 60 inches wide. Draw a diagram of how you can cut the fabric from a roll that is 10 feet long. Tell me the dimensions.
Answers
To cut fabric from a roll that is 10 feet long and 60 inches wide, you can create strips that are 10 feet long and 60 inches wide or cut pieces that are 10 feet long and less than 60 inches wide.
Explanation:To cut fabric from a roll that is 10 feet long and 60 inches wide, you can create strips that are 10 feet long and 60 inches wide, or you can cut pieces that are 10 feet long and less than 60 inches wide.
For example, you can divide the 60-inch width into two 30-inch wide pieces.
Dimensions: Strips: 10 feet long x 60 inches wide Pieces: 10 feet long x 30 inches wide
Which expression is equivalent to 2 3 (3x + 9y) + 1 2 (4x - 2y)? A) x + 4y B) 8x - y C) 4x + 5y D) 2x + 5y
Answers
We use the Distributive Property on both parts of this:
2/3(3x + 9y) + 1/2(4x - 2y)
= 2/3(3x) + 2/3(9y) + 1/2(4x) - 1/2(2y)
= 6/3x + 18/3y + 4/2x - 2/2y
= 2x + 6y + 2x - 1y
Combine like terms and we have:
4x + 5y
The third grade class is going on a field trip by bus to the museum. The bus leaves the school at 9: 45 am. The bus ride takes 47 minutes. At what time does the bus arrive at museum
Answers
10:32 a.m.
Answer:
at 10:32
Step-by-step explanation:
I hope this will help you
Please help!
5xy-6x2+1/2*3y
Answers
The regular price of a DVD is $18, then it is put on sale for $14. Which integer represents the change in the price? A) -14 B) -4 C) 4 D) 14
Answers
Reason being you have to minus four dollars to get to 14. If you chose c, then you would be adding four dollars, which isn't right. So your answer is b.
Answer:
The answer is b
Step-by-step explanation:
What is the measure of angle x? m∠x
Answers
x = 180 - 44 - 53 = 83 degrees
what is the correct way to classify a triangle with angles that measure 52 degeers, 68 and 60 degrees?
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A box contains 100 colored chips; some are violet and some are red. Wilson chooses a chip at random, records the color, and places it back in the bag. Wilson has recorded 9 violet chips and 16 red chips. Using these results, what is the predicted number of violet chips in the box?
11
25
36
75
Answers
Answer:
I did the test the answer is 25
Step-by-step explanation:
Find the distance (-2,-6), (2,-2)
Answers
a(n)=−6−4(n−1)
Find the 4th term in the sequence
Answers
Answer:
The 4th term is -18.
Step-by-step explanation:
This is an explicit formula.
All we have to do is plug n = 4 in the formula to find the 4th term
a (4) = -6 - 4 (4 - 1)
= -18
Sand is stored in a shed that is 3 m long, 2 m wide, and 2 m tall. Which is the correct unit of measurement to use to figure out how much sand will fill the shed? A. m3 B. m C. m2
Answers
Multiply and simplify. 2x^4yx⋅6xy^2z^3
a) 12x^{6}y^{3}z^{3}
b) 12(xyz)^{12}
c) 12x^{4}y^{2}z^{3}
d) 8x^{6}y^{3}z^{3}
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hey does anyone know this
the volume of a cone is 27 pi cm cubed
and the radius is 3 cm
what is the height of the cone
Answers
- Plug into the equation. 27π(cubed)=π∙3(2)∙h
-Solve. 27π(3)=9π∙h
27π/9π=3π
I believe the height is 3π.
Hope this helps
(6x^3+x^5+2x^2−7−4x)−(3x^2−5x+2+5x^5+3x^4)
Answers
Distribute the Negative Sign:=6x3+x5+2x2−7−4x+−1(3x2−5x+2+5x5+3x4)=6x3+x5+2x2+−7+−4x+−1(3x2)+−1(−5x)+(−1)(2)+−1(5x5)+−1(3x4)=6x3+x5+2x2+−7+−4x+−3x2+5x+−2+−5x5+−3x4
Combine Like Terms:=6x3+x5+2x2+−7+−4x+−3x2+5x+−2+−5x5+−3x4=(x5+−5x5)+(−3x4)+(6x3)+(2x2+−3x2)+(−4x+5x)+(−7+−2)= −4x5+−3x4+6x3+−x2+x+−9
Answer:= −4x5−3x4+6x3−x2+x−9
Answer:
-6x^2+10x+7
Step-by-step explanation:
if Anne's age is represented by the variable (a) then.... Epress Jenny's age in terms of (a) if Jenny is 3 years less than 1/2 of Anne's age.
Express Fraz's age in terms of (a) if Fraz is twice the sum of Anne's age and 7
Answers
Jenny's age in terms of Anne's age is j = (1/2)a - 3 and Fraz's age in terms of Anne's age is f = 2(a + 7).
Explanation:To express Jenny's age in terms of Anne's age (a), we can use the information given that Jenny is 3 years less than 1/2 of Anne's age. Therefore, Jenny's age (j) can be expressed as:
j = (1/2)a - 3
To express Fraz's age in terms of Anne's age (a), we can use the information given that Fraz is twice the sum of Anne's age and 7. Therefore, Fraz's age (f) can be expressed as:
f = 2(a + 7)
Learn more about Expressions here:https://brainly.com/question/14083225
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What is the area of this figure? Enter your answer in the box.
Answers
Answer:
35
Step-by-step explanation:
The ratio of boys to girls in the sixth grade is 2:3, if there are 75 students, how many more girls are there than boys?
Answers
[tex]2 + 3 = 5 \\ 75 \div 5 = 15 \\ 15 \times 2 = 30 \\ 15 \times 3 = 45 \\ [/tex]
so there are 15 more girls than boys
Jeremy can row 3/8 of a mile in 1/4 of an hour. What is the unit rate that describes the miles per hour ?
Answers
3/8 * 4 = 1 1/2
Answer: Jeremy can row 1 1/2 miles per hour.
Hope this helps!
Answer:
The unit rate that describes miles per hour is 3/2.
Step-by-step explanation:
Jeremy can row 3/8 of a mile in 1/4 of an hour which means he takes 15 minutes.
If Jeremy can row 3/8 of a mile in 1/4 of an hour then he can row 3/8 multiply 4 of a mile in one hour.
Therefore,
Jeremy can row 3/2 of a mile in 1 hour.
Hence,
The unit rate that describes miles per hour is 3/2.
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https://brainly.com/question/18897759?referrer=searchResults
PLEASE HELP = simplify 3/4(-10+2/5)
Answers
If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:
[tex] \frac{-30}{4} - \frac{6}{20} [/tex]
Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:
[tex] \frac{-150+6}{20} [/tex]
Now you can just add them together to get:
[tex] \frac{-144}{20} [/tex]
and then simplify your fraction:
[tex] \frac{-36}{5} [/tex] or - [tex] \frac{36}{5} [/tex]
The whole fraction becomes negative because when you divide integers and of them is negative, the final answer will be negative.
Answer:-7.2
Step-by-step explanation: -10+2/5 = -9.6 than -9.6 x 3/4 = 7.2
What are like terms in this expression?
4m-9+3n+2
A.-9 and 2
B.-9 and 3n
C.4m and 2n
D.4m and -9
Answers
Inside 4m - 9 + 3n + 2,
-9 and 2 are 'like terms', because they are both monomials and do not have any variables attached to it
hope this helps
insert the greater than, less than, or equal sign to make each statement true. a. 45/45_1 b. 1_6/3 c. 2/7_ 1 d. 64/23_1
Answers
B. < (6/3 = 2 > 1.)
C. < (2/7 + 5/7 = 1.)
D. > (64/23 = 3 > 1)
Answer:
[tex]\frac{45}{45}=1[/tex]
[tex]1<\frac{6}{3}[/tex]
[tex]\frac{2}{7}<1[/tex]
[tex]\frac{64}{23}>1[/tex]
Step-by-step explanation:
Given the statements
we have to insert the greater than, less than, or equal sign to make each statement true.
[tex]\text{Statement 1: }\frac{45}{45}?1[/tex]
[tex]\frac{45}{45}...1[/tex]
[tex]1...1[/tex]
which are equal
∴ [tex]1=1[/tex]
[tex]\text{Statement 2: }1?\frac{6}{3}[/tex]
[tex]1...\frac{6}{3}[/tex]
[tex]1...2[/tex]
2 is greater than 1
∴ [tex]1<2[/tex]
[tex]\text{Statement 3: }\frac{2}{7}?1[/tex]
[tex]\frac{2}{7}...1[/tex]
[tex]0.286...1[/tex]
1 is greater than 0.286
∴ [tex]0.286<1[/tex]
[tex]\text{Statement 4: }\frac{64}{23}?1[/tex]
[tex]\frac{64}{23}...1[/tex]
[tex]2.783...1[/tex]
2.783 is greater than 1
∴ [tex]2.783>1[/tex]
In B, the percent is 35%. What is the part and what is the whole?
Answers
hope this helps. God bless
Mrs. Darnell is going to visit her cousins in Mexico over her summer vacation. She will be gone for one month and fifteen days. She leaves on June 19th. When does she return?
A. July 19
B. July 20
C. August 3
D. August 4
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What is the solution of the system use a graph.
Y=2x+1
Y=-3x-1
Can anybody graph this and show me a picture ?
Answers
The solution is (x, y) = (-2/5, 1/5)
A step on a stairway is at least 8 inches high. What inequality should I write and solve to represent the minimum number of steps between floors that are 10 feet apart?