Question

A cone has a radius of 4 feet on its base. The approximate volume of the cone is 189 ft^3. Determine the height of the cone to the nearest tenth of a foot. Use 3.14 for π.(5 points)%0D%0AA. Use this formula: %0D%0AV = 1/3 pi r^2 h%0D%0A%0D%0AB. Substitute in for the radius and simplify to get %0D%0A %0D%0A%0D%0AC. Use the reciprocal to get about %0D%0A %0D%0A%0D%0AD. Use the inverse operation of %0D%0A to get h by itself.%0D%0A%0D%0AD. Height is approximately %0D%0A.

Answer 1

Whats the answer for B?

Answer 2

A. Use this formula:

V = 1/3 π r^2 h

B. Substitute in for the radius and simplify to get:

189 = 1/3 * 3.14 * 4^2 * h
189 = 1/3 * 3.14 * 16 * h
189 = 16.75 * h

C. Use the reciprocal to get about:

h = 189 / 16.75
h = 11.26

D. Use the inverse operation of multiplication to get h by itself.

Height is approximately 11.3 feet.

Answer 3

For part B, the calculation should be as follows:

189 = 1/3 * 3.14 * (4^2) * h
189 = 1/3 * 3.14 * 16 * h
189 = 16.75 * h.

This is the correct simplification for part B.