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mafiozo [28]
2 years ago
8

Find the total volume. Please show your work.​

Mathematics
1 answer:
elena-s [515]2 years ago
4 0

Answer:

Step-by-step explanation:

You have a half sphere and a cylinder.

Trick question! Note that the diameter of the cylinder is in meters, while the height is given in centimeters.

For cylinder:

 radius r = 5 m

 height h = 6 cm = 0.06 m

 volume = πr²h = π(5²)(0.06) = 1.5π m³

For sphere:

 radius r = 5 m

 volume of sphere = (4/3)πr³

 volume of half sphere =  (2/3)πr³ = (2/3)π5³ = (250/3)π m³

Total volume = 1.5π + 250π/3 ≅ 266.5 m³

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Write 3.088 as a mixed number and improper fraction
mixas84 [53]

Answer:

Mixed number-3 and 88/1000 which is simplified to 3 and 11/125

Improper fraction- 386/125

Step-by-step explanation:

<u>Mixed Number</u>

3.088 is read as Three and eighty-eight thousandths. As a fraction we write this as 3 and 88/1000. However, 88/1000 can be simplified. The greatest common factor that will go into 88 and 1000 is 8, so I divide 8 into 88 and get 11, then I divide 8 into 1000 and get 125. Simplified my answer is 3 and 11/125.

<u>Improper Fraction</u>

If I have 3 and 11/125, I will change it to an improper fraction by first multiplying the whole number 3 by the denominator 125. This gives me 375, which I add to the numerator 11 and that gives me 386. I will keep my denominator so my improper fraction will be 386/125.








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Usimov [2.4K]
Here we have 2 variables we need to calculate:
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