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)

Question

A. Use this formula:
V = pi r^2 h

B. Substitute in for the radius and simplify to get



C. Use the reciprocal to get about


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

D. Height is approximately
.

Answer 1

A. V = πr^2h

B. 189 = 3.14 * 4^2 * h
189 = 3.14 * 16 * h
189 = 50.24h

C. h = 189 / 50.24
h ≈ 3.76

D. Height is approximately 3.8 feet.