Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for n. A sphere has a diameter of 5.2 centimeters. The volume of the sphere is about cm?.

Respuesta :

Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for n. A sphere has a diameter of 5.2 centimeters. The volume of the sphere is about cm?.​

we know that

the volume of the sphere is equal to

[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]

In this problem we have

r=5.2/2=2.6 cm -----> the radius is half the diameter

pi=3.14

substitute the given values

[tex]\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot2.6^3 \\ V=73.6\text{ cm\textasciicircum{}3} \end{gathered}[/tex]

answer is 73.6 cubic centimeters