3. Find the volume of a sphere that has a diameter of 10 inches. Round your answers to the nearest
tenth if necessary. Use 3.14 for pi.
0 1731.8 in. cubed
0904.8 in. cubed
0 113.1 in. cubed
0523.3 in. cubed

  (d)  523.3 in³

Step-by-step explanation:

The radius of the sphere is 10 in/2 = 5 in. The volume is given by ...

  V = (4/3)πr³

  V = (4/3)(3.14)(5 in)³ = 4·3.14·125/3 in³ ≈ 523.3 in³

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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