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)
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. V = (1/3)πr^2h
B. 189 = (1/3)(3.14)(4)^2h
189 = (4/3)(3.14)h
189 = 16.75h
h = 11.3
C. h ≈ 11.3
D. Height is approximately 11.3 feet.