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lyudmila [28]
3 years ago
5

You have a new pool and want to know it’s volume. The pool is 5 feet deep and has a radius of 7 feet. About how much water can t

he pool hold? Use 3.14 for pi.
Mathematics
2 answers:
Eva8 [605]3 years ago
8 0

Answer:

The pool can hold about 5755 US gallon of water

Step-by-step explanation:

From the illustration of the pool, we see the pool to be in cylindrical shape with 5 feet deep and has a radius of 7 feet.

Volume of a the pool = volume of a cylinder

Recall that volume of cylinder = πr²h

In this case

r = 7, h = 5, π = 3.14

Therefore:

Volume = πr²h

= 3.14 x 7² x 5

= 3.14 x 49 x 5

= 769.3ft³

How much water the pool can hold is

Since: 1 cubic foot = 7.481 US gallon of water

769.3ft³ = 769.3 * 7.481 US gallon of water

769.3ft³ = 5755.13 US gallon of water

The pool can hold about 5755 US gallon of

kow [346]3 years ago
5 0

Answer:

it has 48 gallons of water in the pool.

Step-by-step explanation:

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Rama09 [41]

<em><u>Question:</u></em>

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s   2s   3s   4s

<em><u>Answer:</u></em>

It takes 2 seconds for object to hit the ground

<em><u>Solution:</u></em>

<em><u>The given equation is:</u></em>

h(t) = -16t^2 + v_0t+h_0

Initial velocity = 27 feet/sec

h_0 = 10\ feet

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h(t) = -16t^2 +27t+10

At the point the object hits the ground, h(t) = 0

-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0

Solve by quadratic formula,

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

7 0
3 years ago
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