Question 106
The radius of a coneis 3 times the radius of a cylinder and their heights are same. Then the ratio of their volumesin that order is
Solution
Solution:
The radius of the cone is 3 times the radius of the cylinder and their heights are same.
Volume of cone = $$\frac{1}{3}\pi\ R^2h$$
Volume of cylinder = $$\pi r^2h$$
Given, R= 3r
So,Volume of cone = $$\frac{1}{3}\pi\ (3r)^2h$$
Ratio of volumes = $$\frac{1}{3}\pi\ (3r)^2h$$ : $$\pi r^2h$$ = 3:1 Answer
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