There is a right circle cyclinder inside a sphere with radius #8m#. What is the largest surface area of the right circle cyclinder?
1 Answer
On basis of assumptions made
Explanation:
Assume that the optimal position for the cylinder is with its centroid at the centroid of the sphere, cylinder is orientated so that its axis is the z-axis, with the edge of the cylinder end caps touching the sphere.
The line from the origin to any point on the edge of the cylinder end caps has length 8m. If the angle between x-axis and that line is
-
cylinder has height
#h = 2 * 8 sin alpha# -
cylinder has radius
#r = 8 cos alpha#
The surface area of the cylinder is:
From
Reality check, sphere has surface area