Question

5. The circunference of the base of a circular cylinder is 6 Cm. The height of the cynnder is ecuatote
diameter of the base. Find volume of cylinder.
​

Answer 1

Answer:

Let radius of base =r

Then, 2πr=6π⇒r=3cm

∴ h=d⇒h=2r=2×3=6cm

Capacity of cylinder =πr

2

h=π×3×3×6=54πcm

3

In litres ⇒1cm

3

=0.001litre⇒54πcm

3

=0.054π litre

Answer 2

Answer:

The volume of the cylinder is 5.47 cm³ ( Approx. )

Step-by-step-explanation:

We have given that,

The circumference of the base of a circular cylinder is 6 cm.

The height of the cylinder is equal to diameter of the base.

We have to find the volume of the cylinder.

Now, we know that,

Circumference of circular cylinder = 2 π r

⇒ 6 = 2 π r

⇒ π r = 6 ÷ 2

⇒ π r = 3

⇒ r = 3 / π cm

Now, we know that,

Diameter of circular base = 2 * Radius of circular base

⇒ d = 2 r

⇒ d = 2 * ( 3 / π )

⇒ d = 2 * 3 / π

⇒ d = 6 / π cm

Now,

Height of cylinder = Diameter of circular base - - - [ Given ]

⇒ h = d

⇒ h = 6 / π cm

Now, we know that,

Volume of cylinder = π r² h

⇒ Volume of cylinder = π * ( 3 / π )² * ( 6 / π )

⇒ Volume of cylinder = π * ( 3 * 3 / π * π ) * ( 6 / π )

⇒ Volume of cylinder = π ÷ π * ( 3 * 3 / π ) * ( 6 / π )

⇒ Volume of cylinder = 1 * 3 * 3 / π * ( 6 / π )

⇒ Volume of cylinder = ( 3 * 3 * 6 / π * π )

⇒ Volume of cylinder = 9 * 6 / π * π

⇒ Volume of cylinder = 54 / π * π

⇒ Volume of cylinder = 54 / [ ( 22 / 7 ) * ( 22 / 7 ) ]

⇒ Volume of cylinder = ( 54 * 7 * 7 ) / ( 22 * 22 )

⇒ Volume of cylinder = ( 27 * 7 * 7 ) / ( 11 * 22 )

⇒ Volume of cylinder = ( 189 * 7 ) / ( 242 )

⇒ Volume of cylinder = 1323 / 242

⇒ Volume of cylinder = 5.466

⇒ Volume of cylinder ≈ 5.47 cm³

∴ The volume of the cylinder is 5.47 cm³ ( Approx. ).