Question

a cylinder has radius r and height h if the radius and height of a cylinder are doubled then a new cylinder is obtained find the ratio of curved surface area of the original cylinder to that of the new cylinder​

Answer 1

Step-by-step explanation:

As we know that

Curved area of cylinder =2πrh where r and h are radius and height, respectively.

Area of the ends of cylinder =πr

2

+πr

2

=2πr

2

According to the question,

Area of curve =2× Area of ends

2πrh=2×2πr

2

h=2r⇒

r

h

=2

Hence,

h:r=2:1

This is the required solution.

thanks for asking questions