Radius of base of a right circular cone and a sphere is each equal to r. If the sphere and the cone have the same volume. then what is the height of the cone?
Answer & explanation
Correct answer: option 2
Volume of cone = \(\frac{1}{3}\) × π × r2 × h
Volume of sphere = \(\frac{4}{3}\) × π × r3
Let the height = h
According to the question,
= \(\frac{1}{3}\) × π × r2 × h = \(\frac{4}{3}\) × π × r3
h = 4r