Find the volume of a sphere whose surface area is 616 cm². (Use pi = 22/7)
A1437.33 cm³
B1312.67 cm³
C1540.00 cm³
D1250.33 cm³
Explanation
Surface Area = 4 * pi * r^2 = 616 => 4 * (22/7) * r^2 = 616 => (88/7) * r^2 = 616 => r^2 = 49 => r = 7 cm. Volume = (4/3) * pi * r^3 = (4/3) * (22/7) * 343 = 4312 / 3 ≈ 1437.33 cm³.
Exam Relevance
- Topic: Geometry & Mensuration
- Subtopic: Spheres & Hemispheres
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