If the height of a cylinder is halved and its diameter is doubled then, the new volume is the initial volume. Options: A . &nbspis equal to B . &nbspis double of C . &nbspis three times of D . &nbspis four times of

If the height of a cylinder is halved and its diameter is doubled then, the new

Question

If the height of a cylinder is halved and its diameter is doubled then, the new volume is the initial volume.

Options:

A . is equal to

B . is double of

C . is three times of

D . is four times of

Answer: Option B
:
B
Let the radius of a cylinder be 'r' and the height of a cylinder be 'h'.

Volumeof cylinder = V = π r^{2} h Newradius = 2 r Newheight = \frac{h}{2} New volume = π (2 r)^{2} \frac{h}{2} = 2 π r^{2} h New volume = 2 V

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