Question

Given a cylinder and a cone with the same base and the same height
Cylinder: r=4 ft and h=3 ft
Cone: r=4 ft and h=3 ft
What is the volume of the cone in cubic feet?
A. 12 π
B. 16 π
C. 36 π
D. 48 π

Answer 1

what does the cylinder have to do with it? For the cone,

v = π/3 r^2 h
= π/3 (16)(3) = 16π

Answer 2

Base Area * height for CYLINDER
pi r^2 h = pi * 16 * 3 = 48 pi
BUT for CONE
anything pointy with straight sides
(1/3) * Base area * height
= 48 pi/3 = 16 pi