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AURORKA [14]
3 years ago
5

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

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

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

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

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

V=\frac{4}{3}\pi  (1.5)^3

In terms of π, the solution is

4.5\pi which can also be expressed as \frac{9\pi }{2}

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

V = 14.14 cubic inches

kramer3 years ago
3 0

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. 

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