Question

The radius of the sphere is 10. What is the approximate volume of the sphere? Use π and round to the nearest whole cubic unit.

a. 42 cubic units
b. 126 cubic units
c. 4187 cubic units
d. 73,385 cubic units

Answer 1

The approximate volume of a sphere with a radius of 10 units is calculated using the formula V = (4/3)πr³, resulting in 4189 cubic units when rounded to the nearest whole unit.

Step-by-step explanation:

To calculate the volume of a sphere with a given radius, we use the formula V = (4/3)πr³, where r is the radius of the sphere. For a sphere with a radius of 10 units, the volume is calculated as follows:

V = (4/3)π(10)³

V = (4/3)π(1000)

V = (4/3)π(1000)

V = 4,188.79 cubic units

When rounded to the nearest whole cubic unit, the approximate volume of the sphere is 4189 cubic units.