Question

The volume of a sphere is a function of its​ radius, V=4/3(pie)(r^3). Evaluate the function for the volume of a volleyball with radius 11.4cm

Answer 1

volume of a volleyball (a sphere) = 4/3πr³
= 4/3π(11.4)³
= 1975.392π
= 6210 cm³ (to 3 significant figures)

The volume of a volleyball with a radius of 11.4 cm will be 6210 cm³.

Answer 2

• The sphere is indeed the set of all points situated at a distance in 3-D Subspace from a certain point.
• The diameter is two times termed the radius, and pairs of points are called antipodes on the opposite ends of the diameter.

Given:

Volleyball (sphere) volume$=\bold{\frac{4}{3} \pi r^2}$

$\to \bold{r=11.44\ cm}$

putting the value into the formula:

$=\bold{\frac{4}{3} \times 3.14 \times 11.4^2}\\\\=\bold{\frac{4}{3} \times 3.14 \times 1481.544}\\\\=\bold{\frac{4}{3} \times 4652.04816}\\\\=\bold{4 \times 1550.68272}\\\\=\bold{6202.73}$

The final volume of volleyball (sphere) "$\bold{6202.73\ cm^3}$".

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