Question

Using clay, a student made a right circular cone of height $48cm$ and base radius $12cm$. Another student reshapes it in the form of a sphere. Find the radius(in cm) of the sphere.

Answer 1

We have,

$h=48cm$

$r=12cm$

We know that the volume of the cone

$=\frac{1}{3}\pi r^{2}h$

$=\frac{1}{3}\times \pi \times (12{)}^2\times (48)c{m}^3$

Since, student reshapes it in the form of a sphere.

Let the radius of sphere be $r$.

So,

$\frac{4}{3}\pi r^3=\frac{1}{3}\times \pi \times (12{)}^2\times (48)$

$4\times r^3=(12{)}^2\times (48)$

$r^3=(12{)}^2\times 12$

$r^3=(12{)}^3$

$r=12cm$

Hence, this is the answer.