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lions [1.4K]
3 years ago
14

A cylinder with a radius of 12cm and a height of 20cm has the same volume as a cone with a radius of 8cm. What is the height of

the cone
Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

Answer: 135cm

Step-by-step explanation

Volume of a cylinder = πr²h

Volume of a cone. = 1/3πr²h

The two shapes are both solid shapes.

Since the have same volume, we can then equate the two together and solve for the height of the cone.

Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.

Now equating the two

πR²H = 1/3πr²h

Now substitute for the values now

Multiply through by 3

3πR²H = πr²h

But π is common so it could be obliterated from the equation

3R²H = r²h

3 x 12² x 20 = 8² x h

3 x 144 x 20 = 64 x h

60 x 144 = 64h

8640. = 64h

Therefore

h = 8640/64

= 135cm

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Answer:

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Step-by-step explanation:

#1

First we have to figure out the correct order before we plot.

Find the biggest number:

looking at the number the biggest would be 1.5

Find the smallest number:

Looking at the number the smallest would be -1.5

Now that we have that we can easily figure out the rest...

(Going from least to greatest; like on a number line)

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8 0
2 years ago
it takes 1 hour longer to fly to st paul at 200 mi/h than it does to return at 250 mi/h. How far away is st.paul​
gtnhenbr [62]

Answer:

1000 miles

Step-by-step explanation:

We will use the distance equation to find the answer to this problem.

D = RT

Where

D is distance

R is rate

T is time

At 250 miles per hour, suppose it takes t hours to go to st. paul. Thus, we can write:

D = 250t

Now, at 200 mi per hour, it takes 1 hour longer, so the time is "t + 1", so we can write:

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We can equate both and see:

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Now, we solve for t first:

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We want the distance of St. Paul, so we can use any equation. lets use the 1st equation:

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we know t = 4

so

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3 years ago
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