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AfilCa [17]
3 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]3 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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A student receives test scores of 62, 83, and 91. This student's term project score is 88. Each test is worth 20% of the final g
miskamm [114]

Answer:

The student's current average score will be 69.2

Step-by-step explanation:

Let first test be TEST A: which is 20 of total and secures 62

Let second test be TEST B: which is 20 of the total marks and has secured 83.

Let third test be TEST C: which is 20 of total and has secured 91.

And now the TEST D which is 25 of total and has secured 88.

Therefore, by multipying across

{0.2}\times{62} = 12.4

{0.2}\times{83} = 16.6

{0.2}\times{91} = 18.2

{0.25}\times{88} =22

Now, by adding the scores to get the average score

We get, 69.2.

6 0
3 years ago
A group of individuals were surveyed about their plans for vacation. There were 21 individuals who said they were going to the d
Alexeev081 [22]

Answer:

140 individuals were surveyed

42 people are planning on going to the mountains

Step-by-step explanation:

The question is missing the information regarding the percentage of people who said that they were going to each of the possible destinations. After a quick google search I've found that, in the original question, 32% of individuals were going to the beach, 15% to the desert, 23% to major cities, and 30% to the mountains.

If 21 people said they were going to the desert, and that corresponds to 15% of the total number of people surveyed, the number of people surveyed is:

21=n*0.15\\n=140\ individuals

140 individuals were surveyed

Since 30% responded "the mountains", the number of people planning on going to the mountains is:

m = 140*0.30\\m=42\ people

42 people are planning on going to the mountains

3 0
3 years ago
What is the total volume of the cube below? Each block represents 1 unit.
Galina-37 [17]
The answer is D. 125
Can you please mark me brainiest!!!!
6 0
3 years ago
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Mr. Brown owned a house, which he rented for $60 a month. The house was assessed at $9000. In 1975 the rate of taxation was incr
Alexandra [31]
We first calculate the percentage increase on the tax

Old value = 25×9 = 225 ⇒ The value 9 represents the 9 lots of thousands of the house's value
New value = 28×9 = 252

Increase in tax = 252 - 225 =27  
Percentage increase = (27÷225) ×100 = 12%

The amount of yearly rent would be then increased by 12%

Monthly rent = $60
Yearly rent = 60×12 = $720
Increase by 12% = 720×1.12 = 806.4 ⇒ The value 1.12 is the multiplier, obtained from 100%+12%=112%=1.12

The monthly rent is 806.4÷12 = $67.20 which is an increase of $7.20 per month
5 0
3 years ago
A group of 15 teenagers owes $75 at a pizza parlor. If they split the bill evenly, how much will each person owe?
Kipish [7]

Answer:

$5 each teenager

Step-by-step explanation:

divide 75 by 15

7 0
1 year ago
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