Question

A pile of sand on the beach has the approximate shape of a cone with a diameter 28 in. and a height of 11.75 in.

What is the best approximation for the volume of the pile of sand?

A 2411.7 in³
B 3617.5 in³
C7235.1 in³
D9646.8 in³

Answer 1

Use the formula for volume of a cone.
V=pi × r2 × h /3
V= 2411.7 in.^3

Answer 2

A) Volume of the pile of sand is 2411.7 in³ .

Explanation:

Given : A pile of sand on the beach has the approximate shape of a cone with a diameter 28 in. and a height of 11.75 in.

To find : volume of the pile of sand.

Solution : We have given that diameter of cone = 28 in.

height = 11.75 in.

Radius =
`(diameter)/(2)`.

Radius = 14 in.

Volume of cone =
`(pi(radius)^(2)*height )/(3)`.

Volume of cone =
`(3.14(14)^(2)*11.75 )/(3)`.

Volume of cone = 2410.47

Volume of cone ≈ 2411.7 in³.

Therefore, A) Volume of the pile of sand is 2411.7 in³ .