REmember that
The volume of the sphere is equal to
[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]where
r is the radius
so
Part 1
What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth:
we have
r=10 in
substitute
[tex]\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot10^3 \\ V=4,188.79\text{ in3} \end{gathered}[/tex]Part 2
What is the volume of a sphere with a radius of 7 feet? Round to the nearest hundredth
we have
r=7 ft
substitute
[tex]\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot7^3 \\ V=1,436.76\text{ ft3} \end{gathered}[/tex]Part 3
What is the volume of the sphere with a diameter of 18 centimeters? Round to the nearest hundredth
we have
r=18/2=9 cm ------> radius is half the diameter
substitute
[tex]\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot9^3 \\ \\ V=3,053.63\text{ cm3} \end{gathered}[/tex]