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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A. Use this formula: V = (1/3)πr^2h
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 = 16.7472h
C. Use the reciprocal to get about h = 189 / 16.7472 ≈ 11.3 feet
D. Use the inverse operation of multiplication to get h by itself.
D. Height is approximately 11.3 feet.