Question

. Two cylinders have their radii in the ratio 4:5 and their heights in the ratio 5 : 6. Find the ratio of their curved surface areas. ​

Answer 1

Answer:

Step-by-step explanation:

It given the ratio of the radius and heights of cylinders.

and for our understanding we take both radius as $R_{1}$ and $R_{2}$ and height as $H_{1}$ and $H_{2}$

As we know the curved surface area formula = 2$\pi$RH

then to find in ratio of two curved surface area of cylinders

$\frac{C_{1} }{C_{2} }$ =$\frac{2\pi R_{1} H_{1} }{2\pi R_{2} H_{2}}$

then substitue the values

$\frac{C_{1} }{C_{2} }$ =$\frac{2\pi (4) (5) }{2\pi (5) (6)}$

$\frac{C_{1} }{C_{2} }$ =$\frac{40\pi }{60\pi }$

$\frac{C_{1} }{C_{2} }$ =$\frac{2}{3}$