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Olenka [21]
3 years ago
6

URGENT Match each ratio of the volumes of two solids to the pair of solids it represents.

Mathematics
1 answer:
Anarel [89]3 years ago
4 0
1. cylinder to cone:
  (πr^2h)/((1/3)πr^2h) = 3:1

2. sphere to cylinder:
  ((4/3)πr^3)/(πr^2h) = 4r:3h

3. cone to sphere:
  ((1/3)πr^2h)/((4/3)πr^3) = h:4r

4. hemisphere to cylinder:
  half the ratio of sphere to cylinder = 2r:3h
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How to get 3.15 ratio
REY [17]

Answer:

Step 1) Convert the 3.15 percent to a decimal number.

To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.

3.15 ÷ 100 = 0.0315

Step 2) Convert the decimal number to a fraction.

To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.

0.0315  =  

   

0.0315

   

1

Step 3) Remove the decimal point in the numerator.

To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.

   

0.0315 × 10000

   

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315

   

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Step 4) Simplify the fraction.

The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.

   

315 ÷ 5

   

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63

   

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Step 5) Convert the fraction to a ratio.

To convert the fraction to a ratio, replace the fraction divider line with a colon.

   

63

   

2000

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That was the final step. Below is the answer to 3.15 percent as a ratio.

3.15% = 63:2000

Step-by-step explanation:

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