Question

8. A right cone has a volume of 8,579 m3 and a radius of 16 m. Find its altitude.

A. 32.0 m
B. 27.6 m
C. 2.7 m
D. 64.2 m

Answer 1

Option A is correct.

Explanation:

The formula used for finding the volume of right cone is:

Volume of Right cone = (1/3)π.r².h

We need to find altitude i.e h

Volume of cone=V = 8579 m^3

Radius=r = 16m

Altitude =h =?

Putting values,

8579 = (1/3) * 3.14 * (16)^2*h

8579 = 1/3 * 3.14 * 256 *h

8579 = 267.95 * h

=> h = 8579/267.95

h = 32.0 m

So, Altitude of right cone is 32.0 m

Option A is correct.