134k views
1 vote
The volume of a sphere is 500/3π cubic units.

What is the value of x?

4 units
5 units
8 units

2 Answers

5 votes

Answer: hi, b. 5 units is the answer

Step-by-step explanation: i just took the quiz

The volume of a sphere is 500/3π cubic units. What is the value of x? 4 units 5 units-example-1
User MrUpsidown
by
8.9k points
4 votes

we know that

the volume of a sphere is equal to


V=(4)/(3) \pi r^(3)

Solve for the radius r


V=(4)/(3) \pi r^(3)\\ \\ r=\sqrt[3]{(3*V)/(4*\pi)} \\ \\ r=\sqrt[3]{(3*( (500*\pi)/(3)))/(4*\pi)} \\ \\ r=\sqrt[3]{125} \\ \\ r=5\ units

therefore

the answer is

The radius of the sphere is equal to
5\ units


User Jemfinch
by
7.0k points