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1 year ago

The volume of a cylinder is 63pi cm cubed. If the radius is 3 cm, what is the height of the cylinder?

Mathematics

1 answer:

34kurt1 year ago

6 0

Answer:

height of a cylinder = V/ πr2. = 5.002 units.

Step-by-step explanation:

correct me if i wrong

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A soda company had sales of $35,107 million in 2010 and $45,992 million in 2014. Use the Midpoint Formula to estimate the sales

Dima020 [189]

Answer:

40,550

Step-by-step explanation:

40, 550 is the mod point

8 0

2 years ago

A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

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3 years ago

The temple at the top of pyramid is approximately 24 meters above the ground, and there are 91 steps leading up the temple. How

slamgirl [31]

Answer:

13.187 meters

Step-by-step explanation:

Basically, there are 24 meters for every 91 steps: $\frac{24}{91}$

There are x meters for every 50 steps: $\frac{x}{50}$

$\frac{24}{91} =\frac{x}{50}$

Cross multiply

91x = 1200

Divide both sides by 91 to isolate the variable, x

91x/91 = 1200/91

x = 13.186813

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2 years ago

John shared 3 cookies with 4 friends. What fraction of a cookie did each friend receive?

Ann [662]

Answer:

3/4 of a cookie

Step-by-step explanation:

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2 years ago

Zero of the function f(x)=x2-8x+16

3241004551 [841]

One solution was found :<span> x = 4</span>

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2 years ago