Problema Solution
A cylinder has a radius of r and a height of h. A rectangular box has a length of r, a width of h and a height of h. Their combined volume is V=pir^2h + h^2r
If their combined volume is 600 cubic inches and h is 5 inches, solve for the radius (r).
Answer provided by our tutors
sol.
as given in the question the combined volume of both the cylinder and cuboid is
V = pi*r^2*h + h^2*r
now given V = 600
=> hr(pir + h) = 600
=> r (pir + 5) = 120
=> pir^2 + 5r - 120 =0
=> r = 5.43 inches or -7.02 (not possible)
hence, radius of the cylinder is 5.43 inches