If the volume of a sphere is 24,416.64 cm3, find its surface area (take π=3.14) correct to two places of decimal.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 4069.44 cm3.
Formula used:
Volume of sphere = (4/3) × π × r3 ---- (1)
Surface area of sphere = 4 × π × r2 ---- (2)
Calculations:
Using equation (1),
⇒ 24,416.64 = 4/3 × 3.14 × r3
⇒ r3 = 5832
⇒ r = 18 cm
Using equation (2),
Total surface area of sphere = 4 × 3.14 × 18 × 18 = 4069.44 cm3