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2 years ago

5

How much material is required to make a pipe that is 300 cm long whose outer diameter is 8 cm with an inner diameter of 5 cm? Sh

ow or explain your work.

1 answer:

worty [1.4K]2 years ago

4 0

Answer:

Step-by-step explanation:

If you had a solid cylinder, in order to find the amount of material that makes up that solid cylinder, you would find the volume using the radius of 4 (half of the diameter 8). BUT we want to know the volume of the solid with the radius of 4 minus the solid that has a radius of 2.5 (half of the diameter 5).

$V_o-V_i$ That's volume outer - volume inner. To find the outer volume:

$V=\pi r^2h$ so

$V_o=\pi (4^2)(300)$ and

$V_o=4800\pi$ and do the same for the inner volume:

$V_i=\pi (2.5^2)(300)$ and

$V_i=1875\pi$

Subtract the inner from the outer:

$4800\pi-1875\pi=2925\pi cm^3$

If you need your answer in decimal form, then the volume is

9189.16 cm³

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