A sphere with a radius of 6 cm has the same volume as a cylinder with a height of 4.5 cm. What is the radius of the cylinder? A) 2 cm B) 4 cm C) 8 cm D) 12 cm

Respuesta :

Answer:

Step-by-step explanation:

[tex]volume~of~sphere=\frac{4}{3} *\pi *6^3=288~\pi ~cm^3 \\volume~of~cylinder=\pi *r^2*4.5~cm^3\\\pi *r^2*4.5=288~\pi \\r^2=\frac{288}{4.5}=\frac{2}{9}*288=64\\r=8 ~cm[/tex]

Answer:

The answer is  C) 8 cm

Step-by-step explanation: