Find the radius of a sphere with a volume of 4.5π 4.5 π cubic centimeters.

Guest May 5, 2017

#1**+4 **

volume of a sphere = (4π/3)(radius^{3})

4.5π = (4π/3)(r^{3})

Divide both sides by (4π/3) .

4.5π / (4π/3) = r^{3}

4.5π * 3/(4π) = r^{3}

27/8 = r^{3}

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

hectictar
May 5, 2017

#1**+4 **

Best Answer

volume of a sphere = (4π/3)(radius^{3})

4.5π = (4π/3)(r^{3})

Divide both sides by (4π/3) .

4.5π / (4π/3) = r^{3}

4.5π * 3/(4π) = r^{3}

27/8 = r^{3}

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

hectictar
May 5, 2017