Respuesta :

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]