Question

If the surface area of a sphere is 2826 cm² then find its volume. (π = 3.14)

Answer 1

Given: Surface area of sphere = 2826 sq.cm. 

To find: Volume of sphere 

i. Surface area of sphere = 4πr² 

∴ 2826 = 4 x 3.14 x r² 

2826 = 282600 = 900

∴ r² = 2826/4 x 3.14 = 282600/4 x 314 = 900/4

∴ r² = 225

∴ r = √225 … [Taking square root on both sides] 

= 15 cm

ii. Volume of sphere = (4/3) πr³ 

= (4/3) x 3.14 x 15³ 

= (4/3) x 3.14 x 15 x 15 x 15 

= 4 x 3.14 x 5 x 15 x 15 

= 14130 cubic cm. 

∴ The volume of the sphere is 14130 cubic cm.