Question

The radius of the two cylinder are are in the ratio 2 : 3 of a hollow cylinder of height then that surface area?

​

Answer 1

Correct Question :-

The radii of the two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. What is the ratio of their volume?

Answer :-

Given :-

• Ratio of radius of two cylinders = 2 : 3
• Ratio of heights = 5 : 3

To Find :-

• Ratio of Volume

Solution :-

We know that,

Volume of cylinder = πr²h

So, let the radius be $\sf 2r_1$ and $\sf 3r_2$ and let the height be $\sf 5h_1$ and $\sf 3h_2$

$\sf Ratio = \frac{\cancel\pi \times (2r_1)^2 \times 5h_1 }{ \cancel\pi \times (3r_2)^2 \times 3h_2 }$

$\sf = \frac{4r_1^2 \times 5h_1}{9r_2^2 \times 3h_2}$

$\sf = \frac{20 r_1^2 h_1}{27r_2^2 h_2}$

$\sf = \frac{20}{27}$

Ratio of volume of two cylinders = 20 : 27