Question

A cylinder and the cone have the same diameter of 10 inches. The height of the cone is twice the height of the cylinder, which is 8 inches. Find the volume of each figure (leave your answer in terms of π). Which one has the greater volume?
A) Cylinder = 200 and cone = 400. The cone has a greater volume.
B) Cylinder = 200π and cone =
400π
3
. The cone has a greater volume.
C) Cylinder = 200π and cone =
80π
3
. The cylinder has a greater volume.
D) Cylinder = 200π and cone =
400π
3
. The cylinder has a greater volume.

Answer 1

Answer:

a) cylinder = 200 and cone = 400. the cone has a greater volume.

b) cylinder = 200π and cone =

400π

3

. the cone has a greater volume.

c) cylinder = 200π and cone =

80π

3

. the cylinder has a greater volume.

d) cylinder = 200π and cone =

400π

3

. the cylinder has a greater volume.