Question

The radius and height of the cylinder is in the ratio of 2:3 .if it's volume is 1617. Find whole surface area of cylinder.

Answer 1

Let the Radius and base of the cylinder be 2x and 3x cm respectively.

Volue of cylinder = πr2h = 1617 cm3 (given)

or 22/7*(2x)2 *3x =  1617 cm3

x3 = (1617*7)/22*4*3 = 343/8

Take the cube root of both the sides.

X = 7/2 = 3.5 So Radius = 2*3.5 = 7 cm and Height = 3.5*3 = 10.5 cm.

Total Surface area of cylinder = 2πr(r+h) = 2*22/7*7(7+10.5) = 2*22*17.5 = 770 cm square.

Cheers!!!!!!!!

Answer 2

Answer:

Step-by-step explanation:

Let the Radius and base of the cylinder be 2x and 3x cm respectively.

Volue of cylinder = πr2h = 1617 cm3 (given)

or 22/7*(2x)2 *3x =  1617 cm3

x3 = (1617*7)/22*4*3 = 343/8

Take the cube root of both the sides.

X = 7/2 = 3.5 So Radius = 2*3.5 = 7 cm and Height = 3.5*3 = 10.5 cm.

Total Surface area of cylinder = 2πr(r+h) = 2*22/7*7(7+10.5) = 2*22*17.5 = 770 cm square.