The radii of a right circular cone and a right circular cylinder are in the ratio 2 : 3. If the ratio of the heights of the cone and the cylinder is 3 : 4, then what is the ratio of the volumes of the cone and the cylinder?
Answer & explanation
Correct answer: option 3
We know that,
Volume of Cone = \(\frac{1}{3}\)πr2h
Volume of Cylinder = πr2h
Ratio of radius of right circular cone to right circular cylinder = 2:3
Ratio of height of the right circular cone to right circular cylinder = 3:4
Now according to the formula =
The ratio of the volumes of both of them =
\(\frac{1}{3}\)πr2h : πr2h
\(\frac{1}{3}\)(2)23 : (3)24
4 : 36 = 1 : 9