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3 years ago

This cylinder has a volume of 12π cubic inches and a diameter of 4 inches. Find the cylinder's radius and height.

2 answers:

8 0

Answer: The answer is The radius is 2 inches, and the height is 3 inches. Since the diameter is 4 inches, the radius is half of 4 inches. The volume is 12π=22πh, which means 12π=4πh and h=3.

Step-by-step explanation:

<h2><u><em>BRAINLIEST PLS </em></u></h2>

elena55 [62]3 years ago

3 0

Answer:

The statement 50π=52πh is equivalent to 50=25h. Since 50 is 25 times 2, h=2 units.

The statement 36π=r2π4 is equivalent to 36=r2⋅4. Since 36 is 4 times 9, r2=9. This implies r=3 units.

Step-by-step explanation:

i think tht is right

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Nico puts some cupcakes in the oven at 8:55 they need to bake for 25 minutes. When should he take them out the oven?

Naddik [55]

Answer: 9:20

Step-by-step explanation:

After 25 minutes, Nico should take them out, so 9:20.

7 0

3 years ago

Read 2 more answers

New York City is located about 40˚ north of the equator. If Earth's radius is about 4000 miles, approximately how many miles sou

qwelly [4]

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

$\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}$

$=\frac{ 2\pi }{9}$

Now calculating the distance:

$=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}$

$=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles$

4 0

3 years ago

The liquid base of an ice cream has an initial temperature of 86°C before it is placed in a freezer with a constant temperature

Karolina [17]

The temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

From Newton's law of cooling, we have that

$T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}$

Where

$(t) = \ time$

$T_{(t)} = \ the \ temperature \ of \ the \ body \ at \ time \ (t)$

$T_{s} = Surrounding \ temperature$

$T_{0} = Initial \ temperature \ of \ the \ body$

$k = constant$

From the question,

$T_{0} = 86 ^{o}C$

$T_{s} = -20 ^{o}C$

∴ $T_{0} - T_{s} = 86^{o}C - -20^{o}C = 86^{o}C +20^{o}C$

$T_{0} - T_{s} = 106^{o} C$

Therefore, the equation $T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}$ becomes

$T_{(t)}=-20+106 e^{kt}$

Also, from the question

After 1 hour, the temperature of the ice-cream base has decreased to 58°C.

That is,

At time $t = 1 \ hour$ , $T_{(t)} = 58^{o}C$

Then, we can write that

$T_{(1)}=58 = -20+106 e^{k(1)}$

Then, we get

$58 = -20+106 e^{k(1)}$

Now, solve for $k$

First collect like terms

$58 +20 = 106 e^{k}$

$78 =106 e^{k}$

Then,

$e^{k} = \frac{78}{106}$

$e^{k} = 0.735849$

Now, take the natural log of both sides

$ln(e^{k}) =ln( 0.735849)$

$k = -0.30673$

This is the value of the constant $k$

Now, for the temperature of the ice cream 2 hours after it was placed in the freezer, that is, at $t = 2 \ hours$

From

$T_{(t)}=-20+106 e^{kt}$

Then

$T_{(2)}=-20+106 e^{(-0.30673 \times 2)}$

$T_{(2)}=-20+106 e^{-0.61346}$

$T_{(2)}=-20+106\times 0.5414741237$

$T_{(2)}=-20+57.396257$

$T_{(2)}=37.396257 \ ^{o}C$

$T_{(2)} \approxeq 37.40 \ ^{o}C$

Hence, the temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

Learn more here: brainly.com/question/11689670

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2 years ago

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A shelf of books at the library can hold 60.5 pounds of books.

KengaRu [80]

Atleast 302.5 can fit on the shelves

3 0

3 years ago

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The difference between two number is 3.take the numbers as x and y form a equation?

Dennis_Churaev [7]

The difference between two numbers are $3$ and numbers are $x$ and $y$ so the equation is $x-y=3$

How to find the equation and what is the equation ?

equation, statement of equality between two expressions consisting of variables and/or numbers. In essence, equations are questions, and the development of mathematics has been driven by attempts to find answers to those questions in a systematic way.

if the difference of two numbers are $3$

And one number is $x$ and another is $y$

So we write the equation with operation of subtraction

$x-y=3$

Learn more about the equations here :

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5 0

2 years ago