2 Answers

Steve Koch · Answer 1 · 2019-12-12T03:20:49+0000

By definition, the volume of the cylinder is given by:

$V= \pi r^2h$

On the other hand, we know that the height of the sphere is:

The height of the sphere is equal to the height of the cylinder, therefore, rewriting the volume of the cylinder we have:

$V= 2 \pi r^3$

Substituting the cylinder volume value we have:

$64= 2 \pi r^3$

Then, by definition, the volume of the sphere is given by:

$Vs = (4)/(3) \pi r^3$

Rewriting we have:

$Vs = (2)/(3) 2 \pi r^3$

Substituting values we have:

Vs = (2)/(3) 64

Rewriting we have:

(128)/(3)

Answer:

The volume of the sphere is given by:

(128)/(3)

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