Answer:
The radius of the sphere is 2 cm
Step-by-step explanation:
To find the radius of a sphere with a volume of 32/3 π cubic centimeter, we will follow the steps below,
First write down the formula for calculating the radius of the sphere.
That is;
V= [tex]\frac{4}{3}[/tex] πr³
where v is the volume of the sphere and r is the radius of the sphere.
From the question given volume is equal to 32/3 π cubic centimeters.
Substitute for v in the formula and solve for r
V= [tex]\frac{4}{3}[/tex] πr³
[tex]\frac{32}{3}[/tex] π = [tex]\frac{4}{3}[/tex] πr³
The π at the left-hand side will cancel-out the π on the right-hand side of the equation.
[tex]\frac{32}{3}[/tex] = [tex]\frac{4}{3}[/tex] r³
Multiply both-side of the equation by [tex]\frac{3}{4}[/tex]
[tex]\frac{32}{3}[/tex] × [tex]\frac{3}{4}[/tex] = [tex]\frac{3}{4}[/tex]× [tex]\frac{4}{3}[/tex] r³
8=r³
Take the cube root of both-side of the equation
∛8=∛r³
2 = r
r = 2 cm
Therefore the radius of the sphere is 2 cm
Answer:
The radius of the sphere is 2 cm.
Step-by-step explanation:
