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QveST [7]
3 years ago
14

A storage container is a cylinder with a height of 28.2 cm and a radius of 5 cm. How many liters of water will the storage conta

iner hold if 1 liter = 1000 cm^3
Mathematics
1 answer:
solong [7]3 years ago
7 0

Answer:

Then the storage of the cylinder will hold 2.216 liters

Step-by-step explanation:

The formula for calculating the volume of the cylinder is;

V=πr²h

where;

V=volume of the cylinder

π=pi

r=radius of the cylinder

h=height of the cylinder

In our case;

V=unknown

π=22/7

r=5 cm

h=28.2 cm

replacing;

V=π×5²×28.2=2,215.714 cm³

Volume of the cylinder=2,215.714 cm³

If 1 liter=1,000 cm³

Then the storage of the cylinder in liters=2,215.714/1000=2.216 liters

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Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of
Lunna [17]

Answer:

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

SI = \frac{P \times T \times R}{100}

First account:SI=\frac{x \times 1 \times 12}{100}

Second account : SI =\frac{(6000-x) \times 1 \times 7}{100}

We are given that At the end of the first year he had earned $590 in interest.

So, \frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

8 0
3 years ago
4log x-1/2log y+3log z
babymother [125]
Following rules of logs, we can do the following:

log x^4 - log y^(1/2) + log z^3

Combine the first and 3rd factors to get    log [x^4*z^3]

Seeing that the neg. sign signifies division, write this new term - log y^(1/2) as a quotient:

        [x^4*z^3]
log ----------------
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Next time, please include the instructions when you present your problem.
Thx.

7 0
3 years ago
What number should Rihanna use for the height of the parallelogram if she uses 28 inches for the base
astraxan [27]

Answer:

Height = 7in

Step-by-step explanation:

Given

See attachment for parallelogram

Base = 28in

Required

What is the height?

The opposite sides of a parallelogram are equal and the height is the distance between the parallel sides.

From the question, we have:

Base = 28in

Also from the question, the difference between the two parallel sides is 7in.

<em>Hence, the height of the parallelogram in 7in</em>

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We are given that the insect can lift 1.182 x 10^3 times it's own weight. Say that w is weight, so the lift is:

lift = 1.182 x 10^3 * w

 

Assuming that your body weight is 60 kg, therefore you can lift:

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