If the volume of a sphere is 179 2/3 m³, what is its surface area?

If the volume of a sphere is 179 2/3 m³, what is its…

If the volume of a sphere is 179 $\frac{2}{3}$ m³, what is its surface area?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 154 m²

Formula used:

Volume of sphere = (4/3)πr³ ---- (1)

Surface area of sphere = 4πr² ---- (2)

Calculations:

Let the radius of the sphere be r.

Using equation (1), we get

⇒ 179(2/3) = (4/3) × (22/7) × r³

⇒ r³ = 343/8

⇒ r = 7/2

Using equation (2), we get

⇒ Surface area of sphere = 4 × (22/7) × (7/2) × (7/2)

⇒ 154 m²