Question

Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd

1. Here is a sphere with radius 4 feet. What is the volume of the sphere? Express your answer in
terms of pi.
2. A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this
balloon holds. Use 3.14 as an approximation for it, and give a numerical answer

Answer 1

9514 1404 393

Answer:

1. (256/3)π ft³

2. 33.49 ft³

Explanation:

1. Put 4 ft into the formula where r is, then simplify.

V = (4/3)π(4 ft)³ = (256/3)π ft³

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2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.

V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³