Question

PLEASE HELP ASAP!!

A cylinder with a diameter of 10 inches and a cute are shown.

Which statement about the volume of the two shapes is correct?

A. There is not enough information to determine the volume of these containers.

B. Both figures have the same volume.

C. The volume of the cube is greater than the volume of the cylinder.

D. The volume of the cylinder is greater than the volume of the cube.

Answer 1

D

Explanation:

Calculating the volumes of both solids

Volume of a cube = s³ ( where s is the side length )

here s = 10, hence

V = 10³ = 10 × 10 × 10 = 1000 in³

Volume of a cylinder = area of base × height

Area of circular base = πr²

here r = 10 and h = 12, hence

V = π × 10² × 12 = 1200π ≈ 3769 .9 in³

The volume of the cylinder is greater than the volume of the cube → D

Answer 2

C. The volume of the cube is greater than the volume of the cylinder.

Explanation:

(a) Volume of cube

The formula for the volume of a cube is

V = l³

l = 10 in

V = 10³ = 1000 in³

(b) Volume of cylinder

The formula for the volume of a cylinder is

V = πr²h

Data:

h = 10 in

d = 12 in

Calculations:

Calculate the radius

r = d/2 = 10/2 = 5 in

Calculate the volume

V = π × 5² × 12 = 300π in³ ≈ 942 in³

The volume of the cube is greater than the volume of the cylinder.