Question

What is the volume of a cone with the given dimensions? Radius = 4 cm ; Height = 10 cm Round the answer to the nearest hundredth. Use 3.14 for pi. a. 167.47 cu. cm b. 112.57 cu. cm c. 484.15 cu. cm d. 964.15 cu. cm

Answer 1

A. 167.47 is the answer

Answer 2

Option (a) is correct.

The volume of cone with radius 4 cm and height 10 cm is 167.47 cm³

Explanation:

Given : A Cone with Radius = 4 cm and Height = 10 cm.

We have to determine the volume of the cone and choose the correct from the given options.

We know,

Volume of cone =
`(1)/(3)\pi r^2h`

We have r = 4 cm

h = 10 cm

Thus, Volume of cone =
`(1)/(3)\pi \cdot 4^2\cdot 10`

Simplify, we have,

Volume of cone =
`(1)/(3)\pi \cdot 160`

Volume of cone =
`(160)/(3)\pi`

Using π = 3.14, we have,

Volume of cone =
`(160)/(3) \cdot 3.14=167.47`

Thus, The volume of cone with radius 4 cm and height 10 cm is 167.47 cm³