Question

Solve the following questions by showing the necessary steps.

1. DISPOSAL The Meyer family uses a kitchen trash can shaped like a
cylinder. It has a height of 12 inches and a base radius of 6 inches. What is
the volume of the trash can? Round your answer to the nearest tenth of a
cubic inch.

Answer 1

The volume of the trash can is approximately 3,618.2 cubic inches.

Explanation:

The volume V of a cylinder is given by the formula:

V = πr^2h

where r is the radius of the base and h is the height of the cylinder.

In this case, the height is 12 inches and the base radius is 6 inches, so we have:

V = π(6)^2(12)

= 1,152π

≈ 3,618.2 cubic inches (rounded to the nearest tenth of a cubic inch)

Therefore, the volume of the trash can is approximately 3,618.2 cubic inches.

Answer 2

• Volume of trash can is 1375.7 cubic inch.

Explanation:

The Meyer family uses a kitchen trash can shaped like a cylinder. It has a height of 12 inches and a base radius of 6 inches.

Height of trash can = 12 inches

Height of trash can = 12 inchesRadius of trash base = 6 inches.

Volume of cylinder = πr²h

= 22/7 × 6² × 12

= 22/7 × 36 × 12

= 9504/7

= 1375.7 inch³

Hence, Volume of the trash can is 1375.7 cubic inch.