In a cylinder, if radius is halved and height is doubled, the volume will be
a. same
b. doubled
c. halved
d. four times

Solution:

Given, the radius of cylinder is halved

The height of the cylinder is doubled

We have to find the new volume

Volume of the cylinder = πr²h

Where, r is the radius of the cylinder

h is the height of the cylinder

Given, r = r/2

h = 2h

New volume = π(r/2)²(2h)

= π(r²/4)(2h)

= πr²h/2

Therefore, the new volume is half of the old volume

✦ Try This: In a cylinder, if radius is doubled and height is halved, the volume will be

Given, the radius of cylinder is doubled

The height of the cylinder is halved

We have to find the new volume

Volume of the cylinder = πr²h

Where, r is the radius of the cylinder

h is the height of the cylinder

Given, r = 2r

h = h/2

New volume = π(r2r)²(h/2)

= π(4r²)(h/2)

= 2πr²h

Therefore, the new volume is doubled.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13

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NCERT Exemplar Class 9 Maths Exercise 13.1 Sample Problem 1

In a cylinder, if radius is halved and height is doubled, the volume will be a. same, b. doubled, c. halved, d. four times

Summary:

In a cylinder, if radius is halved and height is doubled, the volume will be halved

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