Q.If the radius and height of a cone are both doubled, the volume of the cone will increase to— (a) 3 times (b) 4 times (c) 6 times (d) 8 times
Answer: D
Assume that the previous radius was \(r\), now it is \(2r\).
The previous height was \(h\), now it is \(2h\).
The current volume is \(V\), and the previous volume was \(v\).

\(\therefore\) \(\cfrac{V}{v}=\cfrac{\cfrac{1}{3}\pi (2r)^2.2h}{\cfrac{1}{3}\pi (r)^2.h}=\cfrac{8r^2h}{r^2h}=\cfrac{8}{1}\)
\(\therefore\) \(V=8\times v\)
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