Question

the base radii of two cylinders of the same height are in the ratio 3:4 what is the ratio of their volumne​

Answer 1

The answer is 9 : 16

Answer 2

Answer:

9 : 16

Step-by-step explanation:

Let radius of first cylinder be " 3r" and radius of second cylinder be " 4r"

Their same hight be " h "

We know that, volume of cylinder is πr²h

Ratio of their volume :

=> $\dfrac{\cancel{\pi} {(3r)}^{2}\cancel{h}}{\cancel{\pi} {(4r)}^{2} \cancel{h}}$

=> $\dfrac{9 \cancel{{r}^{2}}}{16 \cancel{{r}^{2}}}$

Therefore, Ratio of the volume of cylinders is 4 : 16