The volume of a cylinder becomes __________ the original volume if its radius becomes half of the original radius.
Solution:
Volume of a cylinder = πr²h
Where r is the radius of the cylinder and h is the height of the cylinder
Keeping height constant if the radius of the cylinder becomes half of the original radius,
The new Volume of the cylinder = π(r/2)²h = (1/4)πr²h
Therefore the new volume becomes one fourth of the original volume.
✦ Try This: The volume of a cylinder becomes __________ the original volume if its radius
becomes twice the original radius.
Volume of a cylinder = πr²h
Where r is the radius of the cylinder and h is the height of the cylinder
Keeping height constant if the radius of the cylinder becomes half of the original radius,
The new Volume of the cylinder = π(2r)²h = (4)πr²h
Therefore the new volume becomes four times the original volume.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 34
The volume of a cylinder becomes __________ the original volume if its radius becomes half of the original radius.
Summary:
The volume of a cylinder becomes one fourth of the original volume if its radius becomes half of the original radius
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