Volume of cone radius 4 height 3 Step by Step

Step by step

Question: find the volume of a cone with radius 4 and height 3.

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 = 4 and h = 3.

V = 13 × π × 4² × 3

4² means 4 times 4.

That is 16.

4² = 4 × 4 = 16

So V = ⅓ × π × 16 × 3.

V = 13 × π × 16 × 3

Keep the numbers small: divide 3 by 3 first.

3 divided by 3 is 1.

33 = 1

So V = π × 16.

V = π × 16

So V = 16π.

We keep π in the answer.

That is the exact answer.

V = 16π

To see about how much, put 3.14 for π.

V ≈ 16 × 3.14

16 times 3.14 is 50.24.

So the volume is about 50.24 cubic units.

V ≈ 50.24

Let's look back.

First: a third of the cylinder.

Last: about how much.

Answer

V ≈ 50.24