Question

A cone has a volume of 40 cubic inches and is 8 inches tall. Follow the steps to find the base area of the cone.

1. Apply the formula for the volume of a cone: V = 1
3
Bh

2. Substitute values for the variables: 40 = 1
3
B(8)

3. Simplify the right side: 40 = 8
3
B

4. Multiply by the reciprocal: (3
8
)(40) = (3
8
)(8
3
)B

What is the base area of the cone?

Answer 1

15 in^2

LAUSD Edge 2020

Answer 2

Answer: 15 inches

Explanation:

Volume(V) = 40 cubic inches

Height (h) = 8 inches

1.) Volume of cone = (1/3) × base(B) × h

2.) 40 = (1/3) × base × 8

3.) 40 = (8/3) × base

4.) Multiply both sides by the reciprocal (3/8)

(40) × (3/8) = (8/3) × (3/8) × base

120/8 = base

15 = base

Therefore, base area of cone = 15 inches