Question

The volume of the sphere is 500/3 π cubic units. What is the value of the radius, x? 4 units 5 units 8 units 10 units

Answer 1

The correct answer is second option

The radius of sphere = 5 units

Explanation:

Points to remember

Volume of sphere = (4/3)πx³

Where 'x' is the radius of sphere.

To find the radius of sphere

We have volume is 500/3 π cubic units

(4/3)πx³ = 500/3 π

x³ = (500/3) * (3/4)

= 500/4 = 125

x = ³√125

x = 5 units

The correct answer is second option

The radius of sphere = 5 units

Answer 2

The radius of the sphere is 5 units

Explanation:

The volume of the sphere with radius r is given by the formula;

`volume=(4)/(3)*\pi*r^(3)`

The volume of the sphere is given as; 500/3 π cubic units

We substitute this value into the formula and solve for r;

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