Question

A cone and a sphere have equal volume. If the
radius of the cone is 11 cm, calculate the height
of the cone, in terms of the sphere's radius.
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Answer 1

Answer:

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Step-by-step explanation:

Volume of sphere = (4/3)*pi*r^3

Volume of cone = (1/3)*pi)r^2*r*h

If their volumes are same, (4/3)*pi*r^3 = (1/3)*pi*r^2*h, or

4r^3=r^2*h, or

4r = h.

The height of the cone is 4-times the radius of the sphere or the base of the cone.