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AleksandrR [38]
3 years ago
5

Please!!! I NEED help with this!!!! it's due in an hour and I have no idea how to do it!!!

Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Answer:

Well you can try to use a calculator, like the one on google. I can try to help if you really need it.

Step-by-step explanation:


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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = 21m^3

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

Divide both sides by h

\frac{21}{h} = \frac{\pi r^2h}{h}

\frac{21}{h} = \pi r^2

The next step is to solve for the volume of the sphere using the following formula;

V = \frac{4}{3}\pi r^3

Divide both sides by r

\frac{V}{r} = \frac{4}{3r}\pi r^3

Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

h = D , where D represents diameter of the sphere

Recall that D = 2r

So, h = D = 2r

h = 2r

Substitute 2r for h in equation 1

V = \frac{28r}{2r}

V = \frac{28}{2}

V = 14

Hence, the volume of the sphere is 14m³

4 0
3 years ago
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Dawson rakes leaves in his neighborhood. The equation y = 10x represents the amount of money he earns. What is the constant of p
Valentin [98]
The constant of proportionality is equal to k in y=kx. In y=10x, the k value is 10.

Final answer: C. 10
3 0
3 years ago
How do I do standard deviation ?
Marianna [84]
<span>Work out the Mean (the simple average of the numbers)Then for each number: subtract the Mean and square the result.Then work out the mean of those squared differences.<span>Take the square root of that and we are done!</span></span>
6 0
3 years ago
What is the multiplicative inverse of −9?
Romashka-Z-Leto [24]

Answer:

The answer to your question is: letter C

Step-by-step explanation:

Multiplicative inverse is a pair of numbers which product gives 1.

Then

x will be our number

                     -9x = 1

                        x = - 1/9

because

                    -9 x  \frac{-1}{9} = \frac{9}{9} = 1

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Find the area of the rectangle:
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10 ft and 2 because I did the math
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