Problema Solution
A cylindrical can of tennis balls holds a stack of three balls so that they touch the can at the top, bottom, and sides. The radius of each ball is 1.25 inches. Find the volume inside the can that is not taken up by the three tennis balls.
Answer provided by our tutors
the height of the cylindrical can is
h = 3*2*1.25 = 7.5 in
the radius of the cylinder is r = 1.25
the volume in the can that is not taken by the balls V = the total volume of the cylindrical can - the volume of the 3 balls
V = (r^2)*pi*h - 3*(4/3)(r^3)*pi
V = (1.25^2)*pi*7.5 - 3(4/3)1.25^3*pi
V = 12.27 in^3