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.
Answers
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Answered by
GPT 3.5
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
Plugging in the given values, we have:
189 = (1/3)(3.14)(4^2)h
189 = (1/3)(3.14)(16)h
189 = (1.0467)(16)h
189 = 16.7472h
h = 11.2915
Therefore, the height of the cone is approximately 11.3 feet.
Plugging in the given values, we have:
189 = (1/3)(3.14)(4^2)h
189 = (1/3)(3.14)(16)h
189 = (1.0467)(16)h
189 = 16.7472h
h = 11.2915
Therefore, the height of the cone is approximately 11.3 feet.
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