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dalvyx [7]
3 years ago
11

A cylindrical container with a radius of 5 cm and a height of 14 cm is completely filled with liquid. Some of the liquid from th

e cylindrical container is poured into a cone-shaped container with a radius of 6 cm and a height of 20 cm until the cone-shaped container is completely full. How much liquid remains in the cylindrical container?
Mathematics
1 answer:
Flura [38]3 years ago
4 0

Answer:

The remaining liquid has a volume of 345.4 cm³.

Step-by-step explanation:

To solve this question we first need to calculate the volume of each container.

Cylindrical:

Volume = h*pi*r² = 14*3.14*(5)² = 1099 cm³

Cone:

Volume = (1/3)*h*pi*r² = (1/3)*20*3.14*(6)² = 753.6 cm³

Since the liquid from the cylinder was transfered to the cone until the latter was full, then what remains in the cylinder is it's original volume minus the cone volume. So we have:

remaining liquid = 1099 - 753.6 = 345.4 cm³

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Answer:

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Step-by-step explanation:

Data provided in the question

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5 0
3 years ago
Identify the sample chosen for the study. The number of hours a group of 12 children in Mrs. Smith's kindergarten class sleep in
LuckyWell [14K]

Answer:

The 12 children selected in Mrs. Smith's kindergarten class.

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A sample is a representative part of a population on which a research is carried out.

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8 0
3 years ago
4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets
zhuklara [117]

Answer:

Two adult tickets and 5 student tickets

Step-by-step explanation:

Let a=adult tickets   Let s=student tickets

You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95

a+s=7.

Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.

Hope this helps

4 0
3 years ago
I don’t know how to do this. HELP!
Karo-lina-s [1.5K]

Answer:

1/4

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3 years ago
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3 0
3 years ago
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