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drek231 [11]
3 years ago
6

An oblique cylinder has a radius of 8 inches and a volume of 1,024 cubic inches. Use Cavalieri’s Principle to calculate the heig

ht of the solid. 15 meters 16 meters 20 meters 25 meters

Mathematics
1 answer:
enot [183]3 years ago
5 0
Remark
All Cavaliere's principle says is that a slanted cylinder (for example) has the same volume as a cylinder with perpendicular parallel lines that the cylinder is sitting on.

I little known or maybe not a well emphasized fact is that the base is the same all the way up the cylinder. The coin picture below shows that. The basic formula for a Cavaliere cylinder is the same as for an ordinary cylinder.

See picture below

Formula
V = B * H 

Sub and Solve
V = 1024
r = 8
p=3.14

V = pi*r^2 * h
1024 = 3.14*8^2 * h    combine the right side.
1024 = 3.14*64 *h       
1024 = 200.96 * h       divide by 200.96
1024/200.96 = h
You are only getting 5 inches.

None of your answers work.The conversion to meters is going to give you an even smaller number. If you add a comment, I'll come back and edit this question.

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Write 45/72 in the simplest form
Oliga [24]
Hi! 

In my opinion, the easiest way to solve a problem like this is to find the greatest common factor (GCF) of the numerator and denominator and then divide both numbers by the GCF. 

So first we need to find the factors of 45 and 72 and find the factor that has the most value that the two numbers both have. 

45: 1, 3, 5, 9, 15, and 45

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

It looks like the GCF is 9. Now we have to divide 45 and 72 by 9. 

45 ÷ 9 = 5

72 ÷ 9 = 8

So the correct answer should be:

\frac{45}{72} =  \frac{5}{8}

Hope this helps :)
3 0
3 years ago
a strip of paper is 9/10 of an inch long. you need to cut the paper into 3/12 inch pieces. how many pieces will you be able to c
e-lub [12.9K]
We have to divide 9/10 by 3/12.

if we divide by a fraction, we can instead multiply by it's inverse:

\frac{9}{12}/ \frac{3}{12}  = \frac{9}{12} * \frac{12}{3}

so now we count:

\frac{9}{12} * \frac{12}{3} =\frac{9}{1} * \frac{1}{3}=3

so we can cut exactly 3 pieces!



5 0
3 years ago
60 z+ 50 - 97z = - 37z + 49<br> How many solutions does this equation have ?
ExtremeBDS [4]

Answer:

no solutions

Step-by-step explanation:

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Emily gad a decorative box that is shaped like a cube with a height of 5 inches. What’s the surface area of the box?
lina2011 [118]

times the length by width and you will get your answer use a calculator that will be the answer

4 0
3 years ago
Rewrite 12/17 as a decimal number. Round to the nearest thousandth.
Natasha_Volkova [10]

Answer:

0.706

Step-by-step explanation:

Convert 12/17 to decimal by dividing the numerator by denominator.

12 ÷ 17 = 0.70588.......

The nearest thousandth is the third decimal place.

If we round up: 0.706

If we round down: 0.705

Because the fourth digit is "8", we round up.

If the digit after the one you want to round to is 5 or greater, then you round up. If the digit after is 4 or less, round down..

12 ÷ 17 = 0.70588....... ≈ 0.706

4 0
3 years ago
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