Question

1.       The radius of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3, the ratio of their volume is​

Answer 1

Solution

Given :-

• The radius of two cylinders are in the ratio of 2 : 3
• their heights are in the ratio of 5 : 3

Find:-

• Ratio of there Volume

Explanation

Using Formula

$\dag\boxed{\underline{\tt{\red{\: Volume_{Cylinder}\:=\:\pi\:r^2\:h}}}}$

Let,

• Radius of first cylinder = r
• Radius of second cylinder = r'
• Height of first cylinder = h
• Height of second cylinder = h'

Case 1.

• r : r' = 2:3

Ww can let, this

• r = 2x
• r' = 3x

Similarly ,

• h = 5
• h' = 3

Now, Calculate volume of first cylinder

==> Volume of first cylinder = π(2x)².5

Volume of second cylinder

==> Volume of second cylinder = π(3x)².3

Now, Take ratio of first & second cylinder volume

==> Ratio will be = [ π.(2x)².5]/[π.(3x)².3

==> Ratio will be = (4×5)/(9×3)

==> Ratio will be = 20/27

Hence

• Ratio of first & second cylinder will be = 20:27

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