1 Answer

Jbmcle · Answer 1 · 2020-11-27T21:14:24+0000

Answer:

250/3π cubic inches

Explanation:

we know that

The volume of the space between the cylinder and the sphere is equal to the volume of the cylinder minus the volume of the sphere

step 1

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^(2) h$

we have

$h=10\ in$

$r=5\ in$

substitute

$V=\pi (5)^(2) (10)$

$V=250\pi\ in^(3)$

step 2

Find the volume of the sphere

The volume of the sphere is equal to

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

we have

$r=5\ in$

substitute

$V=(4)/(3)\pi (5)^(3)$

$V=(500/3)\pi\ in^(3)$

step 3

Find the difference

$250\pi\ in^(3)-(500/3)\pi\ in^(3)=(250/3)\pi\ in^(3)$

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