Question
Download Solution PDFIf the volume of a sphere is 24,416.64 cm3, find its surface area (take π = 3.14) correct to two places of decimal.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The volume of a sphere is 24,416.64 cm3
Concept used:
Volume of a sphere = 4/3πr3
Surface area of a sphere = 4πr2
Here,
r = radius
Calculation:
4/3πr3 = 24416.64
⇒ r3 = 24416.64 × (3/4) × 1/3.14
⇒ r3 = 5832
⇒ r = 18
Now,
Surface area = 4 × 3.14 × 182
⇒ 12.56 × 324
⇒ 4069.44 cm2
∴ The surface area is 4069.44 cm2
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