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3 years ago

A cylinder has a volume of 486 pi ft^3. if the height is 6ft what is the diameter

Mathematics

1 answer:

rusak2 [61]3 years ago

7 0

Answer:

Step-by-step explanation:

Alright so here you have to work backwards. the volume of a cylinder is pi*r^2*h.

Your equation: 486 pi = pi*r^2*6

You know the height is 6 feet, so you can get rid of the 6 feet hanging off of your equation by dividing both sides by 6:

81 pi = pi*r^2

Now you notice that both sides have pi. You can eliminate it by dividing both sides by pi:

81 = r^2

To isolate the r, radius, you have to take the square root of both sides, since a square root is the inverse operation of squaring. You get:

9 = r

Now that you have the radius, you can find the diameter by multiplying the radius by 2, because a diameter = 2 * the radius:

18 = d

Hope this helps!

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You just purchased two coins at a price of $670 each. Because one of the coins is more collectible, you believe that its value w

DerKrebs [107]

Answer:

The value of first coin will be $151.51 more than second coin in 15 years.

Step-by-step explanation:

You have just purchased two coins at a price of $670 each.

You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.

We have to calculate the first coin's value after 15 years by using the formula

$A=P(1+\frac{r}{100})^{n}$

Where A = Future value

P = Present value

r = rate of interest

n = time in years

Now we put the values

$A=670(1+\frac{7.1}{100})^{15}$

$A=670(1+0.071)^{15}$

$A=670(1.071)^{15}$

A = (670)(2.797964)

A = 1874.635622 ≈ $1874.64

Now we will calculate the value of second coin.

$A=670(1+\frac{6.5}{100})^{15}$

$A=670(1+0.6.5)^{15}$

$A=670(1.065)^{15}$

A = 670 × 2.571841

A = $1723.13

The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51

The value of first coin will be $151.51 more than second coin in 15 years.

8 0

3 years ago

A tank is filling with water after 2 minutes

8_murik_8 [283]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

The sum of the angle measures of any triangle is

romanna [79]

Let's say that y is the unknown
180=2x+3+5x+1+y
180=7x+4+y
180-7x-4=y
176-7x=y=third angle

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3 years ago

50 POINTS EACH

Andrews [41]

Since s and t are complimentary, that means ∠s + ∠t = 90

From the picture, we also know that ∠t + ∠LGM = 90

Set them equal to each other:

∠s + ∠t = ∠t + ∠LGM, solve:

∠s = ∠LGM

Now using the fact that tangent = opposite/adjacent:

tan (∠s) = $\frac{y}{h}$

tan (∠s) = $\frac{h}{x}$

Set them equal to each other to get:

$\frac{y}{h}$ = $\frac{h}{x}$

Solve:

$h^{2}= xy\\h = \sqrt{xy}$

Part B:

Using tan (∠s) = $\frac{y}{h}$

We get: $h = \frac{3}{tan38} = 3.84$ meters

Hope that helps!

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2 years ago

1. In the number 3687.54 20, what digit is in the hundredths place?

matrenka [14]

The four is in the hundredths place.

Right one to the decimal goes: tenths, hundredths, thousands, etc.

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3 years ago