The volume of the sphere is 500/3 Ο cubic units. What is the value of the radius, x? 4 units 5 units 8 units 10 units
Accepted Solution
A:
Answer:The radius of the sphere is 5 unitsStep-by-step explanation:The volume of the sphere with radius r is given by the formula;[tex]volume=\frac{4}{3}*\pi*r^{3}[/tex]The volume of the sphere is given as; Β 500/3 Ο cubic unitsWe substitute this value into the formula and solve for r;[tex]\frac{500}{3}\pi=\frac{4}{3}*\pi*r^{3}\\\\r^{3}=\frac{500}{4}\\\\r=\sqrt[3]{125}=5[/tex]