What is the ratio of lateral surface area of the vessel to the surface area of the sphere?
Consider the following for the next three (03) items that follow:<br><br>A conical vessel of radius 12 cm and height 16 cm is filled with water. A sphere is lowered into water and its size is such that it touches the sides of the vessel and it is just immersed.
- A. \frac{4}{3}
- B. \frac{3}{2}
- C. \frac{5}{3} ✓
- D. 2
Correct Answer: C. \frac{5}{3}
Explanation
Lateral surface area of the cone is \pi r l = \pi(12)(20) = 240\pi. Surface area of the sphere is 4\pi R^2 = 4\pi(6)^2 = 144\pi. Their ratio is \frac{240\pi}{144\pi} = \frac{5}{3}.
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