The curved surface of a sphere is 64 π cm2. Find its radius?
Correct answer: C. 4 cm
- A. 1 cm
- B. 2 cm
- C. 4 cm
- D. 3 cm
Explanation
The curved surface area of a sphere is 4πr². Thus 4πr² = 64π, so r² = 16 cm² and r = 4 cm. The likely mistake is choosing 2 cm by taking 64 ÷ 4 = 16 and then not taking the square root.
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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.
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