Question

Find the volume in cm³ of a length of pipe which has these measurements. Volume of a cylinder = πr²h π = 3.14.

Volume = cm3 (round to the nearest thousand)

Answer 1

Answer is
3.14 × 5 × 5 × 200
= 15700

`{cm}^(3)`

Answer 2

Volume of cylinder(V) is given by:

`V = \pi r^2h` ....[1]

where, r is the radius of the cylinder and h is the height of the cylinder

From the diagram:

Diameter of a pipe (d) = 10 cm

height of the pipe(h) = 2m

Use conversion:

1 m = 100 cm

then

2m = 200 cm

⇒h = 200 cm

Since, a pipe is in the form of cylinder.

We have to find the volume of a pipe.

We know that:

`d = 2r`

⇒
`10 = 2r`

Divide both sides by 2 we get;

5 = r

or

r = 5 cm

Substitute the given values and use π = 3.14. in [1] we have;

`V = 3.14 \cdot 5^2 \cdot 200`

Simplify:

`V = 15,700 cm^3`

Therefore, the volume of a pipe in cm³ is, 15700