The volume of the solid is equal to that of a
Consider the following data: A solid consisting of a right circular cone of radius x and height 2x standing on a hemisphere of radius x (take \pi=\frac{22}{7})
- A. sphere of radius x ✓
- B. sphere of diameter x
- C. cylinder of radius x
- D. cylinder of radius \sqrt{2}x
Correct Answer: A. sphere of radius x
Explanation
Volume of cone = \frac{1}{3}\pi x^2(2x) = \frac{2}{3}\pi x^3. Volume of hemisphere = \frac{2}{3}\pi x^3. Total volume = \frac{4}{3}\pi x^3, which is precisely the volume of a sphere of radius x.
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