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5 votes
How many cubic inches of material do you need to make a solid rubber ball with diameter
of 3

User Mmenschig
by
7.5k points

2 Answers

6 votes

Answer:

What is asked in the problem is simply the volume of the solid rubber ball.

Step-By-Step:

The volume of sphere given the diameter may be calculated by,

V = πd^3 / 6

Substituting the given value of diameter,

V = (π x 3³) / 6 = 9π/2 or 14.14

Nonetheless, one needs approximately 14.14 in³ of material.

User Dshenoy
by
7.8k points
7 votes

Answer:

Explanation:

What we're looking for here is the volume of this ball, which is the volume of a sphere:


V=(4)/(3)\pi  r^3

If our diameter is 3, then the radius is 1.5:


V=(4)/(3)\pi  (1.5)^3

In terms of π, the solution is


4.5\pi which can also be expressed as
(9\pi )/(2)

Or if you have to multiply in the pi, the solution is

V = 14.14 cubic inches

User Ben Adams
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7.1k points