A. The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height. Given that the radius is 4 feet and the volume is 189 ft^3, we can substitute in these values and solve for h:
189 = (1/3)(3.14)(4^2)h
189 = (1/3)(3.14)(16)h
189 = (1.0472)(16)h
189 = 16.7552h
h = 189 / 16.7552
h ≈ 11.27 feet (rounded to two decimal places)
B. The reciprocal of 16.7552 is approximately 0.05961.
C. To get the height (h) by itself, you would use the inverse operation of multiplication by 16.7552, which is division by 16.7552.
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 on the nearest tenth of a food. use 3.14 for π
A. substitute in for the radius an simplify to get ___
B. use the reciprocal to get about__
C. use the inverse operation of __ to get h by itself
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