Question

the radius and height of a
cylinder are in the ratio 5:7 and
is volume of 550cm3 .find its
curved surface area.
.
.
help me if anyone know the answer..​

Answer 1

Given :-

Volume of cylinder = 550cm^3

The radius and Height of a cylinder given in ratio 5:7

To Find :-

CSA of Cylinder = πr^2h

Solution :-

Let the ratios be 5x and 7x

Therefore,

Let radius be = 5x

Let height be = 7x

Volume of Cylinder = πr^2h

put the required values in the formula,

550 = 22/7 * 5x * 5x * 7x

550 = 22 * 25x^2 * x

550 = 22 * 25x^3

x^3 = 550 /22*25

x = 1cm

Therefore, The radius of cylinder will be 5x

= 5 * 1 = 5cm

The Height of cylinder will be 7x = 7 * 1 = 7cm