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Inga [223]
2 years ago
7

An above ground pool is shaped like a cylinder. It is 5.5 feet tall and has a diameter of 20 feet. If the pool is filled to 5 fe

et, what is the volume of the water? If the pool is filled to the top, what is the volume of the water?​
Mathematics
2 answers:
andreev551 [17]2 years ago
6 0

Answer:

1570.796 feet cubed

Step-by-step explanation:

First you find the surface area of the base of the cylinder which should look like this:

(10^2)(π)

Next you multiply that by the height (5 feet) because 3d shapes are bases stacked on each other which should look like this:

314.1592654(5)

After that arithmetic you will get 1570.796 or 1570.8 rounded as your answer!

Aleksandr [31]2 years ago
4 0

First, we must know the formula for solving the volume of a cylinder, which is V = \pi r^2 h. Since the water is only being filled to 5 feet, we do not care about the 0.5 feet of the height.

Using the formula, we need to plug-in the numbers for the radius (20 divided by 2 is 10) and height. Doing this, the equation should now look like this: V = 3.14 * 10^2 * 5. When solving, the volume of the water is 1570 feet cubed.

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What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?
Harman [31]

Answer:

\boxed{ \bold{ \huge{  \boxed{ \sf{ \: 14.25 \: \% \: }}}}}

Step-by-step explanation:

Given,

Principal ( P ) = $ 6000

Amount ( A ) = $ 14550

Time ( T ) = 10 years

Rate ( R ) = ?

<u>Finding </u><u>the </u><u>Interest</u>

The sum of principal and interest is called an amount.

From the definition,

\boxed{ \sf{Amount =  \: Principal + Interest}}

plug the values

⇒\sf{14550 = 6000 + Interest}

Swap the sides of the equation

⇒\sf{6000 + Interest = 14550}

Move 6000 to right hand side and change its sign

⇒\sf{Interest = 14550 - 6000}

Subtract 6000 from 14550

⇒\sf{Interest = \: 8550 \: }

Interest = $ 8550

<u>Finding </u><u>the </u><u>rate </u>

{ \boxed{ \sf{Rate =  \frac{Interest \times 100}{Principal \times Time}}}}

plug the values

⇒\sf{ Rate = \frac{8550  \times 100}{6000 \times 10} }

Calculate

⇒\sf{Rate =  \frac{855000}{60000} }

⇒\sf{Rate = 14.25 \: \% \: }

Hope I helped!

Best regards!!

8 0
3 years ago
Sam has a rectangular rug with an area of 50 square feet . The rug is 5 feet longer than it is wide.
ivolga24 [154]

Answer:

4 feet

Step-by-step explanation:

that's the right answer

3 0
3 years ago
What is the value of a?
Annette [7]

Answer:

<h2>a = 16</h2>

Step-by-step explanation:

Look at the picture.

The formula of an area of a trapezoid is:

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b_1,\ b_2 - bases

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We have:

A=128,\ b_1=a+2,\ b_2=a-2,\ h=8

Substitute:

128=\dfrac{a+2+a-2}{2}\cdot8\\\\128=\dfrac{2a}{2}\cdot8

128=8a          <em>divide both sides by 8</em>

16=a\to a=16

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3 years ago
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bogdanovich [222]
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3 years ago
Which number rounds to 0.32 rounded to the nearest hundredth
Naddik [55]
0.32 to the nearest hundredth would be 0.3
5 0
3 years ago
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