Question

Find the volume of a sphere ,if its surface area is 154 sq.cm.​

Answer 1

Answer:

Since the surface area of the sphere is given, we can obtain the radius easily using the formula of the surface area of the sphere.

Let the radius of the sphere be r.

Surface area of the sphere = 4πr2

Volume of a sphere = 4/3πr3

Now, Surface area of the sphere = 4πr2 = 154cm²

r2 = 154cm2 / 4π

r2 = (154 cm2) ÷ (4 × 22/7)

r = √49/4cm²

r = 7/2 cm

Now, radius of the sphere = 7/2 cm

Therefore, volume of the sphere = 4/3πr3

= 4/3 × 22/7 × 7/2 cm × 7/2 cm × 7/2 cm

= 539/3 cm3

Therefore, volume of the sphere is 539/3 cm3.