Question

the circumference of the base of the cylinder is 12m and its height is 77m find the volume of cylinder​

Answer 1

volume of the cylinder = 2 * 22/7 * r = 12meters (given as circumference)

r = 12*7 / 2*22 = 84/44 = 1.90 meters = Radius

Volume of the cylinder = πr²h = 22/7 * 1.90² * 77m = 873.62 meters²

Answer 2

Given :-

• The circumference of the base of the cylinder is 12 m

• Its height is 77 m

To find :-

• The Volume of the cylinder .

Solution :-

Given that

The height of a cylinder = (h) = 77 m

Let the radius of the cylinder be r m

The Circumference of the base of the cylinder = 12 m

We know that

The base of the cylinder is in the shape of circle.

The Circumference of the base of the cylinder = The Circumference of the circle = 2πr units

=> 2πr = 12

=> 2×(22/7)×r = 12

=> (2×22×r)/7 = 12

=> (44×r)/7 = 12

=> 44×r = 12×7

=> 44r = 84

=> r = 84/44

=> r = (4×21)/(4×11)

=> r = 21/11 m

Radius of the cylinder = 21/11 m

We know that

Volume of a cylinder = πr²h cubic units

Volume of the given circle

=> V = (22/7)×(21/11)²×77 m³

=> V = (22/7)×(21/11)×(21/11)×77

=> V = (22×21×21×77)/(7×11×11)

=> V = (22×21×21×77)/(77×11)

=> V = 2×21×21

=> V = 882 m³

Therefore, Volume = 882 m³

Answer :-

• The Volume of the cylinder is 882 m³

Used formulae:-

→ The Circumference of a circle = 2πr units

→ The Volume of a cylinder = πr²h cubic units

• r = radius
• h = height
• π = 22/7

Points to know:-

• A cylinder is a solid (3-dimensional figure).

• Curved Surface Area of a cylinder = 2πrh sq.units

• Total Surface Area of a cylinder = 2πr(r+h) sq.units

• The base of the cylinder is in the shape of a circle.