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puteri
2 months 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:
AnnZ [12.3K]2 months ago
6 0
Answer is
3.14 × 5² × 200
= 15700
{cm}^{3}
PIT_PIT [12.4K]2 months ago
4 0

Answer:

The volume (V) of a cylinder is calculated by the formula:

V = \pi r^2h    ....[1]

Here, r denotes the cylinder's radius, and h is its height.

From the image provided:

The pipe's diameter (d) = 10 cm

The length (height) of the pipe (h) = 2 m

Convert units:

Since 1 m = 100 cm, then

2 m = 200 cm

So, h = 200 cm

Because the pipe resembles a cylinder,

we must find its volume.

Recall that:

d = 2r

Thus,

10 = 2r

Dividing both sides by 2 yields;

5 = r

or

r = 5 cm

Plug the values into equation [1] and use π = 3.14:

V = 3.14 \cdot 5^2 \cdot 200

Simplifying gives:

V = 15,700 cm^3

Hence, the volume of the pipe is 15,700 cm³.

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