Question

Which of the following has largest volume, if the radius and base for all three shapes are same?

• A. a
• B. b
• C. c
• D. Can't compare

Answer 1

Answer: (B)

Volume of the given cone $=\frac{1}{3}\pi r^3$

Volume of the given cylinder $=\pi r^3$

Volume of given hemisphere $=\frac{2\pi }{3}{r}^3$

Now, $\frac{1}{3}\pi r^3$ $<\frac{2\pi }{3}{r}^3$ $<\pi r^3$

Comparing the three volumes we know that volume of given cylinder is high.

Hence, the volume of cylinder is largest.