Question

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

Answer 1

Answer is
3.14 × 5 × 5 × 200
= 15700
${cm}^{3}$

Answer 2

Answer:

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