Question

The ratio of height of two cylinders is 5:3 , as well as the ratio of their radii is 2:3 . Find the ratio of the volumes of the cylinders.

Answer 1

Step-by-step explanation:

Ratio =

$\pi \: {r}^{2} h \div \pi \: {r}^{2} h \\ = {2}^{2} \times 5 \div {3}^{2} \times 3 \\ = 4 \times 5 \div 9 \times 3 \\ = 20 \div 27$

Therefore answer is 20:27.

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