Question

Find the radius of the sphere whose surface area is 616cm^2?

Answer 1

4pie r^2 = 616cm^2
4×22/7 ×r^2 =616
88r^2/7 = 616
616×7/88
r^2 = 49
r = 7

Answer 2

Given,

The total surface area/curved surface area/surface area of sphere is 616cm^2.

To find out,

The radius of the sphere.

Solution:

$\huge \:surface \: area \: of \: sphere \: = 4 \pi \: {r}^{2} \\ \\ 616 = 4 \times \frac{22}{7} \times {r}^{2} \\ \\ \frac{616}{4} = \frac{22}{7} \times {r}^{2} \\ \\ 154 = \frac{22}{7} \times {r}^{2} \\ \\ \frac{154 \times 7}{22} = {r}^{2} \\ \\ \frac{1078}{22} = {r}^{2} \\ \\ 49 = {r}^{2} \\ \\ r = \sqrt{49} \\ \\ r = 7 \: cm$

Therefore the radius of the sphere is 7cm.