Question

The circumference of the base of a cylinder is 132 cm and its reight 25 cm. Find the volume of the cylinder. ​

Answer 1

Answer: :- Cylindrical vessel can hold 34.65 litre water

Step-by-step explanation:Answer:

Given,

Height(h) of a cylinder vessel = 25 cm

Circumference of the base of a cylinder vessel(i.e, in the shape of a circle)= 132 cm

A.T.Q,

Circumference of cylinder = 132 cm

or, 2πr = 132

or, 2×22/7×r = 132

or, r(radius) = (132×7) / (2×22)

or, r = 924/44

or, r(radius) = 21 cm

Therefore,

Volume of a cylinder = π r^2 h

= 22/7 × 21^2 × 25 cu. cm

= 22/7 × 441 × 25 cu. cm

= 22×63×25 cu. cm

= 34650 cu. cm

We know,

1000 cu. cm = 1 litre

1 cu. cm = 1/1000 litre

34650 cu. cm = 1/1000 × 34650 litre

= 34650/1000 litre

= 34.65 litre

Answer :- Cylindrical vessel can hold 34.65 litre water

Answer 2

Let 'r' be the radius of the cylinder. Circumference=132cm

2πr=132cm

2×

7

22

×r=132cm

∴r=

2×22

132cm×7

∴r=21cm

Volume of a cylinder=πr

2

h=

7

22

×(21)

2

×25=

7

22

×21×21×25=34,650cm

3

.