A free floating bubble had a diameter between 41 and 42 feet. Calculate the exact volume of a sphere with a diameter of 42 feet( type an exact answer in terms of pi)

Respuesta :

The volume of sphere with 42 feet of diameter is 12348π cubic feet

Step-by-step explanation:

Given

Diameter = d = 42 feet

[tex]Radius = r =\frac{d}{2} = \frac{42}{2} = 21 feet[/tex]

The volume of sphere is given by:

[tex]V = \frac{4}{3} \pi r^3[/tex]

Putting the value of r

[tex]V = \frac{4}{3}* \pi *(21)^3\\V = \frac{4}{3}* \pi *9261\\V= \frac{37044}{3}\pi \\V = 12348\pi \cubic\ feet[/tex]

Hence,

The volume of sphere with 42 feet of diameter is 12348π cubic feet

Keywords: Volume, Sphere

Learn more about sphere at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

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