The height of the cone is 9 cm, and its volume is 6π cm3. What is the area of the base of the cone?
| August 9, 2021 | education
The formula for the volume of the cone is as follows: V = 1/3 * S * h, where V is the volume, S is the base area, H is the height. Let us express S from it:
S = 3 * V / H.
Substitute the values for V and H:
S = 3 * 6 * π / 9 = 18π / 9 = 2π cm ^ 2.
Answer: the base area is 2π cm ^ 2.
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