The radius of base and the height of a cylinder are in the ratio 2 is to 3 if it volume is 1617 cm cube find the total surface area of the cylinder

Open in App

Solution

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 = (16177)/224*3 = 343/8

Take the cube root of both the sides.

X = 7/2 = 3.5 So Radius = 23.5 = 7 cm and Height = 3.53 = 10.5 cm.

Total Surface area of cylinder = 2πr(r+h) = 222/77(7+10.5) = 22217.5 = 770 cm square.

Suggest Corrections

Similar questions

Q. The radius of the base and the height of a cylinder are in the ratio 2 : 3. If its volume is 1617 cm³, find the total surface area of the cylinder.

The ratio between the radius of the base and height of a cylinder is 2:3. If its volume is 1617 $c m^{3}$ , find the total surface area of the cylinder.

The ratio between the radius of the base and the height of a cylinder is 2:3. Find the total surface area of the cylinder, if its volume is 1617 $c m^{2}$ .

Q. The height and the radius of the base of a cylinder are in the ratio

3 : 1

. If its volume is

1029

π c m^{3}

; find its total surface area.

Q. The radius of the base and the height of a cylinder are in the ratio of 2 : 3. If its volume is

12936 c m^{3}

, then the total surface area of the cylinder is

Join BYJU'S Learning Program