Question

PLEASE HELP ASAP!!

Answer 1

Answer:

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

Step-by-step 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.

Answer 2

Answer:

D

Step-by-step 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