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Shalnov [3]
3 years ago
11

A sphere has a diameter of 0.926 inch.

Mathematics
1 answer:
frosja888 [35]3 years ago
3 0

Answer:

The volume of the sphere is V=0.416 \:in^3.

Step-by-step explanation:

The volume enclosed by a sphere is given by the formula

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

Where r is the radius of the sphere.

The diameter of a sphere is twice as long as any radius of the same sphere and is given by the formula

                                                   d=2r

We know that the diameter of the sphere is 0.926 inch. The radius is

\frac{0.926}{2}=0.463

The volume of the sphere is

V=\frac{4}{3}(3.14)(0.463)^3 \approx0.4155385

and rounding to the nearest thousandth we get V=0.416 \:in^3.

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