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Find the volume of the oblique pyramid with a square base. Note that the figure is not to scale. Round your answer to the nearest hundredth if necessary. Find the volume of a sphere with a radius of 4. Round your answer to the nearest hundredth if necessary

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Find the volume of the oblique pyramid with a square base. Note that the figure is not to scale. Round your answer to the nearest hundredth if necessary.

Find the volume of a sphere with a radius of 4. Round your answer to the nearest hundredth if necessary.




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    1 Answer

    1. Quizzma Team

      To find the volume of the sphere with a radius of 4, you can use the formula for the volume of a sphere:

      [

      V = frac{4}{3} pi r^3

      ]

      Where ( V ) is the volume and ( r ) is the radius.

      1. Substitute the radius into the formula:

      [

      V = frac{4}{3} pi (4)^3

      ]

      2. Calculate ( 4^3 ):

      [

      4^3 = 64

      ]

      3. Now substitute back into the formula:

      [

      V = frac{4}{3} pi (64)

      ]

      [

      V = frac{256}{3} pi

      ]

      4. Now calculate ( frac{256}{3} ):

      [

      frac{256}{3} approx 85.33

      ]

      5. Now multiply by ( pi ) (approximately 3.14):

      [

      V approx 85.33 times 3.14 approx 267.58

      ]

      So, the volume of the sphere is approximately 267.58 cubic units when rounded to the nearest hundredth.

      If you need assistance with the volume of the oblique pyramid or any other question

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