# Geometry

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The volume of an oblique cone with equal diameter and height is 18pi cm^3. Find the height and radius(to the nearest cm).

• Geometry -

recall that the volume of an oblique cone is given by
V = (1/3)*(πr^2)*h
where
r = radius of circle (the base)
h = height
since diameter is equal to the height, we can say that
h = d = 2r
substituting,
V = (1/3)π(r^2)(2r)
18π = (2/3)π(r^3)
18*(3/2) = r^3
27 = r^3
r = 3 cm
h = 6 cm

hope this helps~ :)

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