The ratio of the volumes of two cylinders A and B having the radii of their bases as 2 cm and 3 cm , respectively, and having the same height, is:

Correct option is C

Given:

Radii of two cylinders A and B = 2cm and 3 cm

Height of cylinders is same

Formula Used:

Volume of cylinders = $$\pi r^2 h$$​

Solution:

Volume of cylinder A $$= \pi (2)^2 h = 4\pi h$$​​

Volume of cylinder B =$$\pi (3)^2 h = 9 \pi h$$​​

Ratio of volume of cylinder A and volume of cylinder B = $$\frac{4\pi h}{9\pi h} = \frac{4}{9} =4:9$$​​