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blagie [28]
2 years ago
12

Find the volume. Round to 1 decimal place

Mathematics
1 answer:
Sedaia [141]2 years ago
4 0

Answer:

380.8cm³

Step-by-step explanation:

Volume of a Cylinder is: V=\pi r^2h

'r' is the radius.

'h' is the height.

We are given a height of 9.9 cm and a diameter of 7cm.

The radius is half the diameter.

Divide 7 by 2:

7/2=3.5

The radius is 3.5 cm.

Solve for The Volume (Using 3.14 for pi):

V=3.14*3.5^2*9.9\\\rightarrow3.5^2=12.25\\V=3.14 * 12.25 * 9.9\\V=38.465 * 9.9\\\boxed {V=380.8035}

380.8035 ≈ 380.8

The volume of the cylinder should be 380.8cm³.

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The answer is: -0.5198

Step-by-step explanation:

CUBERT(8) – CUBERT(16) is the cube root of 8 - cube root of 16:

CubeRT(8) - CubeRT(16) =

2 - 2.5198 = -0.5198

Hope this helps! Have an Awesome day!! :-)

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What is the absolute value of 5.23
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Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be
zheka24 [161]
<h2>Hello!</h2>

The answer is:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

<h2>Why?</h2>

To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to isolate one in function of the other.

So, let be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

x_{FirstCar}=x_o+v*t

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

x_{SecondCar}=x_o+(v+14mph)*t

Now, we already know that both cars met after 2 hours and 45 minutes, meaning that positions will be the same at that moment, and the distance between A and B is 264 miles,  so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph

Then, since we know that they covered a combined distance which is equal to 264 miles of distance in 2 hours + 45 minutes, we  have:

2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours

Writing the equation, we have:

264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph

We have that the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph

Hence, we have that:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

Have a nice day!

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3 years ago
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