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Scrat [10]
3 years ago
12

What is the volume of a cylinder with a radius of 10 meters and a height of 4 meters?

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:

The volume of the cylinder is about 1256.6 cubic meters.

Step-by-step explanation:

The volume of a cylinder is given by the formula:

\displaystyle V=\pi r^2h

Where <em>r</em> is the radius and <em>h</em> is the height.

Our radius is 10 meters and our height is four meters. Substitute:

\displaystyle V=\pi(10)^2(4)

Evaluate:

V=400\pi \text{ m}^3\approx 1256.6\text{ m}^3

Thus, the volume of the cylinder is about 1256.6 cubic meters.

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An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the i
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Answer:

The amount invested in the mutual fund that earned 5% was $1,000

The amount invested in the mutual fund that earned 3% was $1,800

Step-by-step explanation:

Let

x ----> the amount invested in the mutual fund that earned 5%

y ----> the amount invested in the mutual fund that earned 3%

we know that

x+y=2,800 ----> y=2,800-x ----> equation A

5\%=5/100=0.05

3\%=3/100=0.03

0.05x+0.03y=104 ----> equation B

Solve the system by substitution

substitute equation A in equation B

0.05x+0.03(2,800-x)=104

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therefore

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3 years ago
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