Answer:
The radius of the sphere is 5 units
Step-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; 500/3 π cubic units
We 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]
Answer:
The correct answer is second option
The radius of sphere = 5 units
Step-by-step 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
