Question

Volume of a sphere is 38808 cm cube its curved surface area is

Answer 1

Please see the attachment

Answer 2

Given :

Volume of a sphere is 38808 cm cube

To find :

Curved surface area

Solution:

Volume of sphere = $\frac{4}{3} \pi r^3$

We are given that Volume of a sphere is 38808 cm cube

So,$\frac{4}{3} \pi r^3 =38808\\\frac{4}{3} \times \frac{22}{7} \times r^3 = 38808\\r^3 =\frac{38808 \times 7 \times 3}{2 \times 22}\\r=\sqrt[3]{\frac{38808 \times 7 \times 3}{2 \times 22}}\\r=26.45$

Curved surface area of sphere =$4 \pi r^2 = 4 \times \frac{22}{7} \times 26.45^2=8795.002 cm^2$

Hence The curved surface area of sphere is 8795.002 sq.cm.