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Serhud [2]
3 years ago
5

A cylindrical swimming pool has a diameter of 16 feet and a height of 4 feet. About how many gallons of water can the pool conta

in? Round your answer to the nearest whole number. (1 ft³ ≈ 7.5 gal)
To the nearest whole number, the pool can hold gallons of water.
Mathematics
2 answers:
Softa [21]3 years ago
8 0

Answer:

107 gal

volume formula of a cylinder is pi * r^2 * h

it gives you the diameter 16 but we need to find the radius. divide it by 2. radius is 8

we already know the height.

pi= 3.14 * 8^2 * 4

3.14 * 64 *4

you find your volume. then divide it by 7.5

Svetach [21]3 years ago
5 0

Answer:

6032 gallons

Step-by-step explanation:

The diameter of the cylindrical swimming pool is 16 ft

The height(h) of the pool is 4 ft

Volume of a cylinder is given by;

Volume (v) = π × r² × h

Radius (r) = 16/2 ft = 8 ft

v = π × (8 ft)² × 4ft = 804.247719319ft³

Given; 1ft³ = 7.5 gallons (gal)

804.247719319ft³ would equal to how many gallons?

Cross multiplying gives,

\frac{804.247719319}{1} × 7.5 gal = 6031.85789489

Which equals to 6032 gallons rounded up to whole number.

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A classroom had 8 rows of desks with 6 desks in each row. Four desks were removed from the room. How many desks were left?
Oduvanchick [21]
Answer: 44 desks.

First of all, you need to find how many desks there are in total. To find it, you need to multiply 8 with 6.

8 x 6 = 48

Next, it says that four desks were removed. All you need to do is subtract 4 from 48.

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3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2
weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

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Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

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… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

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