High School

If the sphere shown above has a radius of 17 units, then what is the approximate volume of the sphere?

A. 385.33 cubic units
B. 4,913 cubic units
C. 6,550.67 cubic units
D. 3,275.34 cubic units

Answer :

Answer:

20582.195 units

Step-by-step explanation:

This problem is on the mensuration of solids.

A sphere is a solid shape.

Given data

radius of sphere = 17 units

The volume of a sphere can be expressed as below

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

Substituting our data into the expression we have

[tex]volume = \frac{4}{3}*3.142*17^3[/tex]

[tex]volume = \frac{4}{3}*3.142*4913\\\\volume = \frac{61746.584}{3}= 20582.195[/tex]

The volume of the sphere is given as

20582.195 units