Find the radius of cone with height = 21 cm and volume = 2662 cm3
Question
Find the radius of cone with height = 21 cm and volume = 2662 cm3
Solution
The volume V of a cone is given by the formula V = 1/3 * π * r² * h, where r is the radius and h is the height.
We can rearrange this formula to solve for r:
r = sqrt((3V) / (πh))
Substituting the given values:
r = sqrt((32662 cm³) / (π21 cm))
r = sqrt((7986 cm³) / (66.03 cm))
r = sqrt(120.98 cm²)
r = 11 cm (approximately)
So, the radius of the cone is approximately 11 cm.
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