Question

If the height is inversely proportional to the square of its radius, the volume of the cylinder is.(volume of cylinder=pie*r square*height)

Answer 1

Answer:

22*7

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Answer 2

If the height is inversely proportional to the square of its radius, the volume of the cylinder is $V = \pi k$

Solution:

The volume of cylinder is given as:

$V = \pi r^2h$

Where,

r is the radius

h is the height

Given that,

height is inversely proportional to the square of its radius

$h \propto \frac{1}{r^2}\\\\h = k \times \frac{1}{r^2}$

Where, "k" is constant of propotionality

Substitute the above value of h in volume formula

$V = \pi \times r^2 \times k \times \frac{1}{r^2}\\\\V = \pi k$

Thus volume of cylinder is found

Learn more about this topic

For a fixed volume, the height, h cm, of a cone is inversely proportional to the square of the base rafius,r cm. Cine a has a base radius of 6 cm and a height of 5cm. The base radius of cone B is 3 cm and the height of cone C is 1.25 cm. If all the cones have the same volume, find the height of cone B

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