Question

Sphere has a radius of 7 cm. If the radius is increased to 14 cm, calculate the change in the surface area of the sphere.

• A. $588\pi c{m}^2$
• B. $688\pi c{m}^2$
• C. $788\pi c{m}^2$
• D. $888\pi c{m}^2$

Answer 1

The correct option is A $588\pi c{m}^2$

We know that,
surface area of sphere
$=4\pi r^2$

Given that,
initial radius of sphere = 7 cm.
final radius of sphere = 14 cm.

Now,
change in surface area of sphere
= final surface area of sphere - initial surface area of sphere
= $4\pi \times {14}^2$ - $4\pi \times 7^2$
= $588\pi c{m}^2$