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AfilCa [17]
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.

Mathematics
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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Dominik [7]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
EasyElectrics supermarket orders light bulbs from suppliers, AA Electronics and AAA Electronics. EasyElectrics purchases 30% of
saw5 [17]

Answer: (a) 0.006

               (b) 0.027

Step-by-step explanation:

Given : P(AA) = 0.3 and P(AAA) = 0.70

Let event that a bulb is defective be denoted by D and not defective be D';

Conditional probabilities given are :

P(D/AA) = 0.02 and P(D/AAA) = 0.03

Thus P(D'/AA) = 1 - 0.02 = 0.98

and P(D'/AAA) = 1 - 0.03 = 0.97

(a) P(bulb from AA and defective) = P ( AA and D)

                                                       = P(AA) x P(D/AA)

                                                       = 0.3 x 0.02 = 0.006

(b) P(Defective) = P(from AA and defective) + P( from AAA and defective)

                         = P(AA) x P(D/AA) + P(AAA) x P(D/AAA)

                         = 0.3(0.02) + 0.70(0.03)

                         = 0.027

3 0
3 years ago
I need to fill this out for notes .
docker41 [41]

Answer:

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Step-by-step explanation:

5 0
2 years ago
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
viva [34]

Answer:

y = -3    m = -1     b = 3

Step-by-step explanation:

-3y=3x-9

To isolate the y variable, divide both sides by -3.

y = -1x + 3

y = -3

m = -1

b = 3

8 0
3 years ago
Choose the numbers that are irrational.<br><br><br><br><br> 3.624<br> 0.6<br><br> 0.87<br> -5
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Answer:

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