The volume of a cone and a sphere is equal numerically and base radius of cone is equal to radius of sphere, then find the ratio of the radius to height of the cone.
Answer & explanation
Correct answer: option 1
ATQ,
Volumes of cone and sphere are equal ⇒
\(\frac{1}{3}\) \(\pi \)r2h = \(\frac{4}{3}\) \(\pi \)r3
⇒ h = 4r
⇒ r : h = 1 : 4