The formula for the volume of a cone is given by V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height.
We are given that the volume of the cone is 48π units^3 and the height is 9 units. Substituting these values into the formula, we get:
48π = (1/3)πr^2(9)
Simplifying the equation, we have:
48 = 3r^2
Dividing both sides by 3, we get:
16 = r^2
Taking the square root of both sides, we find:
r = 4
The radius of the cone is 4 units.
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.
Substituting the value of r into the formula, we get:
C = 2π(4)
Simplifying, we find:
C = 8π
Therefore, the circumference of the right cone is 8π units.
The volume of a right cone is 48π units^3. If its height is 9 units, find its circumference in terms of π
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