Question

A cylinder has a radius of 3 inches and a height of 4 3/4inches . A sphere has a radius of 3 inches. What is the difference between the volumes , to the nearest tenth of a cubic inch , of the cylinder and the sphere ?

Answer 1

We know that
[volume of a cylinder]=pi*r²*h
r=3 in
h=4 3/4 in----> (4*4+3)/4----> 19/4
[volume of a cylinder]=pi*3²*19/4----> 134.235 in²

[volume of a sphere]=(4/3)*pi*r³
r=3 in
[volume of a sphere]=(4/3)*pi*3³-----> 113.04 in³

[the difference between the volumes]=134.235-113.04---> 21.195 in³
to the nearest tenth of a cubic inch-------> 21.2 in³

the answer is
21.2 in³