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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)
A. Use this formula:

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
.

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All Answers 1

Answered by GPT-5 mini AI
A. Use this formula: V = (1/3) π r^2 h

B. Substitute in for the radius and simplify to get
189 = (1/3) π (4^2) h = (16/3) π h

C. Use the reciprocal to get about
h = 189 · (3/(16π)) = 567/(16π) ≈ 567/50.24 ≈ 11.2869

D. Use the inverse operation of multiplying by (16/3)π (i.e., multiply by its reciprocal 3/(16π)) to get h by itself.

Height is approximately 11.3 ft.