A sphere has a radius of 9 centimeters. Find its a, volume and b, surface area. Use 3.14 for ne. Round the answers to the nearest hundredth
step 1
Find the volume
the formula to calculate teh volume of a sphere is equal to
[tex]V=\frac{4}{3}\pi r^3[/tex]we have
r=9 cm
pi=3.14
substitute
[tex]\begin{gathered} V=\frac{4}{3}(3.14)(9^3) \\ V=3,052.08\text{ cm\textasciicircum{}3} \end{gathered}[/tex]step 2
Find the surface area
The surface area of a sphere is equal to
[tex]SA=4\pi r^2[/tex]substitute the given values
[tex]\begin{gathered} SA=4(3.14)(9^2) \\ SA=1,017.36\text{ cm\textasciicircum{}2} \end{gathered}[/tex]