Acone has a radius of 8 inches and a height of 12 inches.

what is the exact volume of the cone?

a.

32_ in3

b.

96_ in3

c.

256_ in3

d.

768_ in3

The answer is C. 256π in3

The volume of the cone (V) is:
V = 1/3·π·r²·h  (r - radius, h - height)

We know:
r = 8 in
h = 12 in
V = ?


Just substitute all of these in the formula for the volume of the cone:
V = 1/3·π·r²·h = 1/3 ·π · 8² · 12 = 256π in³

Where is your question?