Solution:
Given a sphere of diameter, d, 2.5ft.
To find the volume, V, of the sphere, the formula to apply is
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where, the radius, r, is
[tex]\begin{gathered} r=\frac{d}{2}=\frac{2.5}{2}=1.25ft \\ r=1.25ft \end{gathered}[/tex]
Substitute for r into the formula to find the volume of a sphere above
[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}\times\pi\times1.25^3 \\ V=8.18123\text{ ft}^3 \\ V=8.2\text{ ft}^3\text{ \lparen nearest tenth\rparen} \end{gathered}[/tex]
Hence, the volume, V, of the given sphere is 8.2 ft³ (the nearest tenth)
