Find the radius of a sphere with a volume of 4.5π 4.5 π cubic centimeters.
+9466 volume of a sphere = (4π/3)(radius3)
4.5π = (4π/3)(r3)
Divide both sides by (4π/3) .
4.5π / (4π/3) = r3
4.5π * 3/(4π) = r3
27/8 = r3
Take the cube root of both sides.
\(\sqrt[3]{\frac{27}{8}}=r \\~\\ \frac{\sqrt[3]{27}}{\sqrt[3]{8}}=r \\~\\ \frac{3}{2}=r\)
r = 3/2 centimeters
+9466 volume of a sphere = (4π/3)(radius3)
4.5π = (4π/3)(r3)
Divide both sides by (4π/3) .
4.5π / (4π/3) = r3
4.5π * 3/(4π) = r3
27/8 = r3
Take the cube root of both sides.
\(\sqrt[3]{\frac{27}{8}}=r \\~\\ \frac{\sqrt[3]{27}}{\sqrt[3]{8}}=r \\~\\ \frac{3}{2}=r\)
r = 3/2 centimeters
