In a cylinder, radius is doubled and height is halved, curved surface area will be
a. halved
b. doubled
c. same
d. four times
Solution:
Given, the radius of the cylinder is doubled and height is halved.
We have to find the curved surface area of the cylinder.
Curved surface area of the cylinder = 2πrh
Where, r is the radius of the cylinder
h is the height of the cylinder
Given, r = 2r
h = h/2
Curved surface area = 2π(2r)(h/2)
= 2πrh
Therefore, the curved surface area remains unchanged.
✦ Try This: In a cylinder, radius is doubled, curved surface area will be
Given, the radius of the cylinder is doubled.
We have to find the curved surface area of the cylinder.
Curved surface area of the cylinder = 2πrh
Where, r is the radius of the cylinder
h is the height of the cylinder
Given, r = 2r
Curved surface area = 2π(2r)(h)
= 4πrh
Therefore, the curved surface area will be 4πrh
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13
NCERT Exemplar Class 9 Maths Exercise 13.1 Problem 4
In a cylinder, radius is doubled and height is halved, curved surface area will be a. halved, b. doubled, c. same, d. four times
Summary:
In a cylinder, radius is doubled and height is halved, curved surface area will be the same
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