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lisabon 2012 [21]
4 years ago
5

A cylinder has a diameter that is twice it’s height. Another cylinder has a height that is twice it’s diameter. Which cylinder h

as a greater volume?

Mathematics
1 answer:
Amanda [17]4 years ago
4 0

Answer:

Cylinder on the left has 2 times the volume

Step-by-step explanation:

Volume of the cylinder on the left

V = pi * r^2 h

The radius is 1/2 the diameter, so

r = 2x/2 = x

r =x and h  =x

Substituting in

V = pi * x^2 *x

V = pi x^3

Volume of the cylinder on the right

V = pi * r^2 h

The radius is 1/2 the diameter, so

r =x/2 and h  =2x

Substituting in

V = pi * (x/2)^2 *2x

V = pi x^2/4 *2x

V= pi x^3 *1/2

V = 1/2 pi x^3

The volume of the cylinder on the right is 1/2 the volume of the cylinder on the left.

Cylinder on the left has 2 times the volume

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scoundrel [369]

Answer:

Step-by-step explanation:

Let g represent the weight of the g oranges that were put in the crate in pounds.

From the information given,

The weight of the empty crate is 15 pounds. The total weight of the crate when filled with g oranges is 24.5 pounds.

Therefore, the equation that represents the relationship between the weight of the crate and the number of oranges it contains is

g + 15 = 24.5

g = 24.5 - 15

g = 9.5 pounds

The weight of the g oranges is 9.5 pounds

7 0
3 years ago
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Alan needs 36 quarts of paint to paint the basement of his house. if 1 gallon is equal to 4 quarts, how many gallons of paint sh
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3 years ago
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Which ratio is equivalent to 1 : 5?
Travka [436]

Answer:

Infinite solutions.

Step-by-step explanation:

A ratio, which is essentially a fraction, can be written in an infinite number of ways and still have the same value..

As an example:

2/1 = 2

6/3 = 2

As long as both the top and bottom of a fraction are multiplied by the same value, the fraction will keep the same value.

So, any ratio that's a multiple of 1/5 is equivalent.

6 0
4 years ago
Plz help anybody will give branily
igomit [66]

#8. The answer would be 189. The LCM (least common multiple) of 2 or more numbers, is the multiple that each number has in common with one another. Here are the multiples of both numbers up to 189, to show 189 is the answer.

  • 21: 21, 42, 63, 84, 105, 126, 147, 168, 189
  • 27: 27, 54, 81, 108, 135, 162, 189

#9. The answer would be 41. Prime numbers are numbers that only have 2 favtors (1 and itself). Since 41 is only divisible by 1 and itself, without the answer being a decimal, it is a prime number.

#10. The answer would be 6. The GCF (greatest common factor) of 2 or more numbers, is the largest factor that each number has in common with one another. Here are the factors of both numbers, to show 6 is the answer.

  • 30: 1, 2, 3, 5, 6, 10, 15, 30.
  • 48: 1, 2, 3, 4, 6, 8, 12, 24, 48.

I hope this helps!

3 0
3 years ago
What does x represent in f-1(x) = 30? What is the value of x?
Nesterboy [21]
The answer is x=30 because f-1x=30
F-x=30
X=30
4 0
4 years ago
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