Question

two cylinders of same volume having their Heights in ratio 1 ratio 3 find the ratio of their radii​

Answer 1

Answer:

Let heights be h1 and h2

Let radii be r1 and r2

Given h1:h2 = 1:3

\pi  \times {r1}^{2}  \times h1 = \pi  \times {r2}^{2}  \times h2 \\  \frac{ {r1}^{2} }{ {r2}^{2} }  =  \frac{h2}{h1}  =  \frac{3}{1}  \\ therefore \:  \:  \frac{r1}{r2}  =  \sqrt{3}

Thus, r1:r2 = √3:1

Step-by-step explanation: