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I am Lyosha [343]
3 years ago
12

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 64 m^3. What is the volume of the sphere?

Mathematics
2 answers:
Tamiku [17]3 years ago
5 0

Answer:

C = 128

Step-by-step explanation:

I took the test

Alika [10]3 years ago
3 0
The correct answer is C) 128/3 m^3.

The formula for the volume of a sphere is V=4/3πr³.
The formula for the volume of a cylinder is V=πr²h.

Since the cylinder and the sphere have the same height:

The "height" of the sphere is the same as the diameter.  This means the height of the cylinder is equal to the diameter of the sphere, or 2 times the radius:  
h=2r

Plugging this into our formula for the volume of a cylinder, along with the actual volume, we have:
V=πr²h
64=πr²(2r)
64=2πr³

Dividing both sides by 2π, we have
64/2π = r³
32/π = r³

Plugging this into our formula for the volume of a sphere:
V=4/3πr³
V=(4/3)π(32/π)
V=128π/3π
V=128/3
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Answer:

5b=2f

Step-by-step explanation:

Priya uses 7\dfrac{1}{2} cups of floor to make 3 loaves of banana bread.

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To find the relation between b and f, the steps are as follows :

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It means,

\dfrac{f}{b}=\dfrac{5}{2}\\\\5b=2f

So, the relationship between b and f is "5b=2f".

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3 years ago
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Keith_Richards [23]

Answer:

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Step-by-step explanation:

Here 3x-12y-216=0

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Step-by-step explanation:

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<u>Answer:</u>

3 months

<u>Explanation: </u>

Amount saved in Gina’s saving account= 250

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Hence total amount  added in each month =124

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Step-by-step explanation:

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