Question

The radius of a cylinder is doubled and the height remains the same. The ratio between the volumes of the new cylinder and the original cylinder is


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Answer 1

Answer:

1:4

Step-by-step explanation:

Volume of old cylinder, v1 = πr²h

Volume of new cylinder, v2 = π(2r)²h

=> v2 = 4πr²h

$\frac{v1}{v2} = \frac{\pi {r}^{2}h }{4\pi {r}^{2} h} = \frac{1}{4}$

Ratio, v1/v2 = 1:4

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