The curved surface area of the sphere is 154 cm2 . Find the volume of the sphere (rounded off to one digit after decimal).
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 179.7 cm3
Formula used:
Curved surface area of sphere = 4πr2 ----- (1)
Volume of sphere = (4/3)πr3 ---- (2)
Calculations:
Using equation (1), we get
⇒ 4 × (22/7) × r2 = 154
⇒ r2 = 49/4
⇒ r = 7/2
Using equation (2),
Volume of sphere = (4/3) × (22/7) × (7/2) × (7/2) × (7/2) = 179.7 cm3