Question

What is the height of a cone with a radius of 4 inches and of volume 8 cubic inches? Round your answer to the tenths place.

Answer 1

The height of the cone is 0.5

Explanation:

The formula of a cone is:

V= 1/3 πr² h

where r = 4 inches

V = 8 cubic inches

Now plug the values in the formula:

8 = 1/3 * 3.14 *(4)^2 *h

8 = 1/3 * 3.14 * 16 *h

8 = 50.24/3 * h

Now shift the R.H.S to the L.H.S

8 * 3/50.24 =h

24/50.24 = h

0.477707 =h

Rounding off to the nearest tenths place

=0.48

=0.5

Thus the height of the cone is 0.5 ...