Question

volume of a cylinder whose radius is 7 cm and height 14 cm

Answer 1

Answer:

The volume of cylinder is 2156 cm³

Step-by-step explanation:

Volume of a cylinder is given by the formula :

Volume = π r² h

Here π is the constant spelled as pi and has a value of 22/7 .

DERIVATION :

We know that :

volume of a body = height of the body × area of cross section .

Now area of cross section has to be found .

Let height be h .

Cross section is nothing but a circle .

So area = π r² where r is the radius of the cylinder.

So the volume = h × π r² = π r² h

Although that is not required , coming back to your question :

Whenever we will be given the radius and height of a cylinder and is asked to find the volume , then approach by using the formula :

Volume = π r² h

Take π as 22/7 whenever the question does not mention us to take 3.14 .

So :

Volume = π r² h

= > 22/7 × ( 7 )² × 14

= > 22/7 × 49 × 14

= > 22 × 7 × 14

= > 154 × 14

= > 2156

So the volume of the cylinder is 2156 cm³

Answer 2

volume of a cylinder = π r^2 h
22/7x 7x7 x 14
22x7x14
2156 cm^2