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DanielleElmas [232]
3 years ago
9

Find the volume of the cylinder. Round your answer to the nearest tenth.

Mathematics
2 answers:
PolarNik [594]3 years ago
8 0

Answer:

803.8 cubic centimeters (to the nearest tenth)

Step-by-step explanation:

Volume of a cylinder, V = πr²h

π = 3.14

From the question,

r = radius = diameter/2 = 8cm/2 = 4cm

h = height of the cylinder = 16cm

We substitute these values into the formula

V = πr²h

V = 3.14 X 4²cm² X 16cm

V = 803.8cm³

Therefore, the volume of the cylinder is 803.8 cubic centimeters to the nearest tenth

GrogVix [38]3 years ago
7 0

We know diameter d=8 and height h=16.

First find the radius of the bottom of the cylinder,

r=\dfrac{d}{2}=\dfrac{8}{2}=4.

Then find the area of the bottom of cylinder,

A=\pi r^2=16\pi.

Then to find volume just multiply the height with the area of the bottom of the cylinder,

V=Ah=16\cdot16\pi=16^2\pi\approx804.247\mathrm{cm^3}.

Hope this helps.

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1. The distance between the perihelion and the aphelion is 116 million miles

2. The distance from the center of Mercury’s elliptical orbit and the Sun is 12 million miles

3. The equation of the elliptical orbit of Mercury is \frac{x^{2}}{3364}}+\frac{y^{2}}{3220}=1

4. The eccentricity of the ellipse is 0.207 to the nearest thousandth

5. The value of the eccentricity tell you that the shape of the ellipse is near to the shape of the circle

Step-by-step explanation:

Let us revise the equation of the ellipse is

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  • The length of the major axis is 2a
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  • The coordinates of the foci are (± c , 0) , where c² = a² - b²

∵ The Sun is located at a focus of the ellipse

∴ The sun located ate c

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∴ The perihelion is located at the vertex (a , 0)

∵ The closest Mercury comes to the Sun is about 46 million miles

∴ The distance between a and c is 46 million miles

∵ The aphelion is the point in the planet’s orbit that is furthest from

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∴ The aphelion is located at the vertex (-a , 0)

∵ The farthest Mercury travels from the Sun is about 70 million miles

∴ The distance from -a to c is 70 million miles

∴ The distance between the perihelion and the aphelion =

   70 + 46 = 116 million miles

1. The distance between the perihelion and the aphelion is 116 million miles

∵ The distance between the perihelion and the aphelion is the

  length of the major axis of the ellipse

∵ The length of the major axis is 2 a

∴ 2 a = 116

- Divide both sides by 2

∴ a = 58

∴ The distance from the center of Mercury’s elliptical orbit to the

   closest end point to the sun is 58 million miles

∵ The distance between the sun and the closest endpoint is

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∴ The distance from the center of Mercury’s elliptical orbit and

   the Sun = 58 - 46 = 12 million miles

2. The distance from the center of Mercury’s elliptical orbit and the Sun is 12 million miles

∵ The major axis runs horizontally

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∵ a = 58

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- Add b² to both sides

∴ (12)² + b² = (58)²

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∴ b² = (58)² - (12)² = 3220

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If it is 1, it is completely squashed and looks like a line

∵ The eccentricity of the ellipse is 0.207

∵ This number is closed to zero than 1

∴ The shape of the ellipse is near to the shape of the circle

5. The value of the eccentricity tell you that the shape of the ellipse is near to the shape of the circle

Learn more:

You can learn more about conics section in brainly.com/question/4054269

#LearnwithBrainly

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