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Alexandra [31]
3 years ago
9

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

Mathematics
2 answers:
Luda [366]3 years ago
6 0
Answer is
3.14 × 5 × 5 × 200
= 15700
{cm}^{3}
denis-greek [22]3 years ago
4 0

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

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