Question

The curved surface area of a right circular cylinder if height 25cm is 550sq.cm . find the diameter of the base of the cylinder.


please answer step by step​

Answer 1

Answer:

The diameter of the cylinder is 7 cm.

Step-by-step explanation:

The given height of the cylinder, h = 25 cm, and the curved surface area is 550 cm². The question is to find the diameter of the base of the cylinder.

The formula to find the curved surface area is given as,

             $A=2\pi rh$

Therefore, $550=2\pi r\times25$

              $550=50\pi r\\\\r=\dfrac{550}{50\pi}\\\\r=\ 3.5\ cm$

Now we have the value of the radius. And the diameter is twice the length of the radius. Hence the diameter of the cylinder is given as,

               $d=2r\\\\d=2\times3.5\\\\d=7\ cm$

∴ The diameter of the cylinder is 7 cm.