Question

The radius and height of the cylinder are in the ratio 2:3. If the volume of the
cylinder is 1617 cm3, find its height.

Answer 1

Answer:

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*22/77(7+10.5) = 2*22*17.5 = 770 cm²