Question

two cylindrical jars contains same amount of milk. if there diameters are in 3:4,find there ratio of their height

Answer 1

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Answer 2

Answer:

The ratio of their height is 16:9

Step-by-step explanation:

Given two cylindrical jars contains same amount of milk.

If there diameters are in 3:4, we have to find the ratio of their height.

$\text{Let the height of first and second cylinder are }h_1\text{ and }h_2$

Let the diameter of first cylinder 3d

and the diameter of second 4d

As given two cylindrical jars contains same amount of milk.

⇒ Volume of first cylindrical jar=Volume of second cylindrical jar

$\pi r_{1}^2 h_1=\pi r_{2}^2h_2$

$\pi(\frac{3d}{2})^2h_1=\pi (2d)^2h_2$

$\frac{h_1}{h_2}=\frac{4d^2}{\frac{9d^2}{4}}$

$\frac{h_1}{h_2}=\frac{16}{9}$

The ratio of their height is 16:9