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Sveta_85 [38]
3 years ago
12

The diameter of a sphere us 4 centimeters. which represents the volume of the sphere

Mathematics
1 answer:
Veronika [31]3 years ago
5 0
Greetings and Happy Holidays!

The Formula for the Volume of a Sphere is: V=\frac{4}{3}\pi r^3

Input 
the value of the radius (\frac{d}{2}):
V=\frac{4}{3}\pi (2)^3

Solve using the Order of Operations:
V=\frac{4}{3}\pi (8)

V=\frac{4}{3}\pi \frac{8}{1}

V=\frac{32}{3}\pi

The Answer Is:
\boxed{V=33.510322}

I hope this helped!
-Benjamin

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Answer:

csc θ = \sqrt{85}/6

sec θ = \sqrt{85}/7

tan θ = 6/7

Step-by-step explanation:

The first thing to do will be to compute the length of the hypotenuse using the Pythagoras theorem;

6^2 +7^2 = hypotenuse^2

hypotenuse = \sqrt{85}

csc θ = 1/sinθ

sinθ = opposite side/hypotenuse

       = 6/\sqrt{85}

csc θ = \sqrt{85}/6

sec θ = 1/cosθ

cosθ = adjacent side/hypotenuse

sec θ = hypotenuse/adjacent side

         = \sqrt{85}/7

tan θ = Opposite side/adjacent side

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Answer:

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Step-by-step explanation:

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12. Determine the area of the shaded region. 12 in 12 in​
vekshin1

Answer:

  • 216/7 in²

Step-by-step explanation:

<u>We know that:</u>

  • Area of shaded region = Area of square - Area of circles
  • Radius of circle = 3 in
  • Area of circle = πr²
  • Area of square = s²

<u>Solution:</u>

  • Area of shaded region = Area of square - Area of circles
  • => Area of shaded region = (12²) - 4(22/7 x 3 x 3)
  • => Area of shaded region = (144) - 4(22/7 x 9)
  • => Area of shaded region = (144) - 4(198/7)
  • => Area of shaded region = 144 - 792/7
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  • => Area of shaded region = 1008/7 - 792/7
  • => Area of shaded region = 216/7 in²
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