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.