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user100 [1]
3 years ago
11

A cylinder has a height of 6 millimeters and a radius of 4 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer t

o the nearest hundredth.
Mathematics
1 answer:
netineya [11]3 years ago
4 0

Answer:

V=301.44\ \text{mm}^2

Step-by-step explanation:

Given that,

Height of the cylinder, h = 6 mm

Radius of the cylinder, r = 4 mm

We need to find the volume of the cylinder. The formula for the radius of the cylinder is given by :

V=\pi r^2 h

Putting given values,

V=3.14\times (4)^2 \times 6\\\\V=301.44\ \text{mm}^2

So, the volume of the cylinder is 301.44\ \text{mm}^2.

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Charlie is watching hot air balloons. balloon a has risen at a 50° angle. balloon b has risen at a 78° angle. if the distance fr
AfilCa [17]

The distance from Balloon A to Balloon B, d ≈ 1,052 feet

What is distance ?

  • Distance is defined to be the magnitude or size of displacement between two positions.
  • Note that the distance between two positions is not the same as the distance traveled between them.
  • Distance traveled is the total length of the path traveled between two positions. Distance traveled is not a vector.

The given parameters are;

The angle at which Balloon A rises, x° = 50° above horizontal

The angle at which Balloon B rises, y° = 78° above horizontal

The (vertical) distance of Balloon A to the ground, h = 1,000 ft.

The required parameter;

The distance from Balloon A to Balloon B, d

We find the distances of the balloons from Charlie and the angle between the balloon strings, θ, then apply cosine rule

Let,

The height of the balloon strings are equal

The distance of Balloon A to the ground, h₁ = The distance of Balloon B to the ground, h₂ = 1,000 ft.

The distance of the Balloon A  from Charlie, l₁, is given as follows;

l₁ × sin(x°) = h₁

∴ l₁ = h₁/(sin(x°))

Which gives;

l₁ = 1,000 ft./(sin(50°)) ≈ 1,305.41 ft.

l₁ ≈ 1,305.41 ft.

For Balloon B, we get;

h₁ = h₂ = 1,000 ft.

∴ l₂ = 1,000 ft./(sin(78°)) ≈ 1,022.34 ft.

l₂ ≈ 1,022.34 ft

The angle between the balloon strings, θ = 180° - (x° + y°)

∴ θ = 180° - (50° + 78°) = 52°

The angle between the balloon strings, θ = 52°

By cosine rule, we have;

d = √(l₁² + l₂² - 2 × l₁ × l₂ × cos(θ))

∴ d = √(1,305.41² + 1,022.34² - 2 × 1,305.41×1,022.34 × cos(52°)) ≈ 1,052 feet

Therefore, the distance from Balloon A to Balloon B, d ≈ 1,052 feet

Learn more about distance

brainly.com/question/15172156

#SPJ4

7 0
2 years ago
Mr. Green is putting lights around 8 windows; each window is 3.5feet wide and 5 feet long. How many feet of light does he need?
zmey [24]
We must find the perimeter of all eight windows. To make it simpler for us, let's find the perimeter of one window and multiply it by 8.

2*3.5 + 2*5 = 7 + 10 = 17

17*8 = 136

Hope this helps!
6 0
3 years ago
What is 5+5= and 5×2​
saveliy_v [14]

Answer:

5+5=10

5x2=10

Together, they equal 20.

Step-by-step explanation:

7 0
3 years ago
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guys i have a question me and my girlfriend are still in love but we live in to different zones of louisiana.I want to suprise h
notka56 [123]

Answer:

this is my opinion so

Step-by-step explanation:

Well congrats : and suprise her with stuff she likes , Flowers, candy,cloths but her favorites of each thing. honestly anything she will still like it either way :) i hope i helpee

3 0
3 years ago
A square rests inside a regular octagon. Each shape has a side length measuring 9 inches.
Phantasy [73]

Wait so are the sides of the octagon 9 inches each or do we have to find that?

6 0
3 years ago
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