The surface area of a sphere is 2464 cm2.
Question:

The surface area of a sphere is 2464 cm2. If its radius be doubled, then what will be the surface area of the new sphere?

Solution:

Let the radii of the given sphere and the new sphere be r and R, respectively.

We have,

$R=2 r$ and the surface area of the given sphere $=2464 \mathrm{~cm}^{2}$

i.e. $4 \pi r^{2}=2464 \mathrm{~cm}^{2}$

The surface area of the new sphere $=4 \pi R^{2}$

$=4 \pi(2 r)^{2}$

$=4 \pi\left(4 r^{2}\right)$

$=4\left(4 \pi r^{2}\right)$

$=4 \times 2464$

$=9856 \mathrm{~cm}^{2}$

So, the surface area of the new sphere is 9856 cm2.