Question:
The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.
Solution:
True
Let the radius of the sphere and cylinder be r.
Given, height of the cylinder = diameter of the base => h = 2r
According to the given condition,
Volume of sphere = (2/3) x Volume of cylinder
4/3 πr3 = (4/3) x πr2 x 2r
4/3 πr3 = 4/3 πr3
Hence, the volume of a sphere is equal to two-third of the volume of a cylinder.
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.