Question

The diameter of a basketball is four times the diameter of cricket ball. Find the ratio of there surface area.

Answer 1

Answer:

If the basketbal's diameter is 4 times that of the diameter of a cricket ball then the ratio of their surface areas is 16:1

Step-by-step explanation:

Let diameter of cricket ball be D

Then the diameter of the basketball = 4D

Balls are spherical, so surface area = $4\pi r^{2}$

Here,

r= diameter/2

The ratio of the surface area of basketball to cricket ball =

$\frac{4\pi*\frac{4D}{2}* \frac{4D}{2}}{4\pi *\frac{D}{2} *\frac{D}{2}} \\\\= \frac{16D^{2} }{D^{2} } \\\\= \frac{16}{1}$