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If the volume of a cone is 763. 02 cubic inches and the radius and height of the cone are equal what is the radius of the cone

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Answer: The radius of the cone is 8.99in or 9.00in

Explanation:

Step 1: The equation of the volume of the cone is V = (1/3) πr^2h

If the height and radius is equal, we can say that r=h.

Substitute the value of h in the equation

The volume of a cone = (1/3) πr^2h

The volume of a cone = (1/3) πr^2(r)

The volume of a cone = (1/3) πr^3

Step 2: Substitute the value of the volume and solve for r

763. 02 cu. in. = (1/3) πr^3

3(763. 02 cu. in) = πr^3

3(763. 02 cu. in)/π = r^3

∛(3(763. 02 cu. in)/π) = ∛(r^3)

r = 8.99in or 9.00in

The radius of the cone is 8.99in or 9.00in

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