Short answer: r = 8 Remark The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values.
Step One Find the volume of the sphere.
<em>Givens</em> r = 6 cm
<em>Formula</em> V = (4/3) pi r^3
<em>Sub and Solve</em> V = 4/3 pi * 6^3 V = 288 * pi
Step two Find the radius of the cylinder
<em>Givens</em> V = 288* pi cm^3 h = 4.5 cm
<em>Formula</em> V = pi r^h
<em>Sub and solve</em> 288 pi cm^3 = pi r^2 * 4.5 Divide both sides by pi 288 cm^3 = 4.5 r^2 Divide both sides by 4.5 388 / 4.5 = r^2 64 = r^2 Take the square root of both sides. r = square root( 64) r = 8 <<<<< Answer
