Volume of cone radius 6 cm height 2 cm Step by Step

Step by step

Question: find the volume of a cone with radius 6 cm and height 2 cm.

Draw a cylinder around the cone, with the same base and the same height.

Fill the cone with water 3 times.

That fills the cylinder exactly.

So the cone is one third of the cylinder.

π is a special number for circles.

It is about 3.14.

The cylinder is π × r² × h.

So the cone is V = ⅓ × π × r² × h.

V = 13 × π × r² × h

Now put the numbers in: r = 6 and h = 2.

V = 13 × π × 6² × 2

6² means 6 times 6.

That is 36.

6² = 6 × 6 = 36

So V = ⅓ × π × 36 × 2.

V = 13 × π × 36 × 2

Keep the numbers small: divide 36 by 3 first.

36 divided by 3 is 12.

363 = 12

So V = π × 12 × 2.

V = π × 12 × 2

12 times 2 is 24.

So V = 24π.

We keep π in the answer.

That is the exact answer.

V = 24π cm³

To see about how much, put 3.14 for π.

V ≈ 24 × 3.14

24 times 3.14 is 75.36.

So the volume is about 75.36 cm³.

V ≈ 75.36 cm³

Let's look back.

First: a third of the cylinder.

Last: about how much.

Answer

V ≈ 75.36 cm³