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The radius ‘r’ and volume of a cone and a sphere are equal. Find the height of the cone.

A(1/4)r

B4r

C(4/3)r

D2r

Answer:

B. 4r

Read Explanation:

The radius of the cone and the radius of the sphere are equal r cm

according to question,

Given, the volume of cone = volume of the sphere  

13×π×r2×h⇒\frac{1}{3}\times{π}\times{r^2}\times{h}

=43×π×r3=\frac{4}{3}\times{π}\times{r^3}

⇒ h = 4r


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