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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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What 75% of two hundred
Ghella [55]

To find 75% of 200, we can multiply two fractions.

75/100 * 200/1

Now, just multiply the numerators and the denominators separately.

75 * 200 = 15000

100 * 1 = 100

Now, divide.

15000/100 = 150

<h3>75% of 200 is 150.</h3>
8 0
3 years ago
Recall the experiment comparing patients 4 weeks after surgery for carpal
dimulka [17.4K]

Answer:

4. H0: u1= u2    Ha; u1≠ u2

5. The smaller value of p supports the null hypothesis.

Step-by-step explanation:

4. The null and alternate hypotheses are

H0: u1= u2   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1≠ u2   i.e there a difference between the mean pinch strengthof the two surgeries

It can be written like this as well

H0: u1 -u2= 0   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1 -u2≠ 0   i.e there a difference between the mean pinch strengthof the two surgeries

Part 5. The test having a p- value less than 0.05  tells that the null hypothesis cannot be rejected. Theres no evidence to reject the null hypothesis.

The smaller value of p supports the null hypothesis.

3 0
2 years ago
What are the x and y intercepts of the below equation
lozanna [386]
Plug in 0 for x
0 - 6y = 30
y = -5
Y intercept: (0,-5)

Plug in 0 for y
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X intercept: (6,0)
3 0
3 years ago
Simplify the following expression.<br><br><br> A. <br><br> B. <br><br> C. <br><br> D.
Dahasolnce [82]

Answer:

D

Step-by-step explanation:

Let's start by crossing everything out!

12/3 can be crossed out to 4.

a^3/a^2 can be crossed out to a.

b^6/b^4 can be crossed out into b^2.

c^5/c^5 is just 1.

So which the results we got, we can multiply them, so that it is 4ab^2.

4ab^2 is our final answer!

5 0
2 years ago
The inverse of x y is: x y x y y x x y y x
serg [7]

Answer:

The inverse of xy is yx.

Step-by-step explanation:

Given:  xy

We need to find the inverse of xy.

To find inverse of an expression, we need to replace the variable x by y and y  by x.

Given xy.

Now replace x by y and y by x, we get

yx

Therefore, the inverse of xy is yx.

Let me show you an example.

y = x - 2

To find the inverse function, replace x by y and y by x, we get

x = y - 2

It is an equation, to write the equation in terms of y, add 2 from both sides, we get

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Therefore, y = x + 2

5 0
3 years ago
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