Can someone help me with this and explain it to me?? I figured out a and b but need help on C. Thank you!!
Jack and maureen are opening an ice hotel. th e structure and furniture are made out of ice. they must determine the weight of some of the ice furniture to decide the size of the crane needed to lift each piece into place. maureen knows that ice weighs approximately 62.4 pounds per cubic foot. find the approximate weight of each of the figures below.
c. a series of four spheres will decorate the reception area. the largest sphere has diameter 4 ft. the other three spheres have diameter 2 ft, 1 ft, and 1/2 ft.

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MathPhys MathPhys · Answer 1 · 2020-02-20T22:03:39+01:00

Step-by-step explanation:

Volume of a sphere is:

V = 4/3 π r³

where r is the radius (half the diameter).

The volume of each sphere is:

V = 4/3 π (4 ft / 2)³ = 32/3 π ft³ ≈ 33.510 ft³

V = 4/3 π (2 ft / 2)³ = 4/3 π ft³ ≈ 4.189 ft³

V = 4/3 π (1 ft / 2)³ = 1/6 π ft³ ≈ 0.524 ft³

V = 4/3 π (1/2 ft / 2)³ = 1/48 π ft³ ≈ 0.065 ft³

The weight of each sphere is:

W = 33.510 ft³ × (62.4 lb/ft³) = 2091.044 lb

W = 4.189 ft³ × (62.4 lb/ft³) = 261.381 lb

W = 0.524 ft³ × (62.4 lb/ft³) = 32.673 lb

W = 0.065 ft³ × (62.4 lb/ft³) = 4.084 lb

The total weight is 2389.181 lb.