Question

The radii of two cylinder in the ratio 2:3 and their height are in ratio 5:3. find the ratio of their volumes.
$valume \: of \: cylinder1: valume \: of \: cylinder2 \\ \pi \: r {}^{2} h:\pi \: r {}^{2} h \\ cancel \: \pi \: from \: both \: side \\ r {}^{2} h:r {h}^{2} \\ 2 \times 2 \times 5:3 \times 3 \times 3 \\ 20: \: 27answer$
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Answer 1

Answer:

Let the radii be 2x and 3x, let the height be 5y and 3y. so, ratio of volume =r²h/R²H =(2x)²×5y/(3x)²×3y =20x²y/27x²y =20/27, ratio of CSA =rh/RH =2x×5y/3x×3y =10xy/9xy =10/9

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Answer 2

Answer:

10/9

Step-by-step explanation:

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