Question

Which equation gives the volume of the sphere? V = two-thirds (27 pi) V = four-thirds (27) V = two-thirds (27) V = four-third (27 pi)

Answer 1

V = four-third (27 pi)

Explanation:

Complete question;

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.

A sphere with height h and radius r. A cylinder with height h and radius r.

Which equation gives the volume of the sphere?

V = two-thirds (27 pi)

V = four-thirds (27)

V = two-thirds (27)

V = four-third (27 pi)

Volume of the cylinder V = πr²h

If Volume is 27pi feet cubed, hence;

27pi = πr²h

27 = r²h

Since r = h

27 = r³

r = ∛27

r = 3

Since the volume of the sphe4/3πr³re = 4/3πr³

Volume of sphere = 4/3π(27)

Volume of sphere = 4/3(27π)

Hence the correct option is V = four-third (27 pi)