Question 487606: a right cylinder is inscribed in a sphere of radius 10.express its volume and surface area as functions of its height,h. Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website! Assume the radius of the cylinder is r. Upon drawing the sphere and cylinder, draw a right triangle (with a vertex at the center of the sphere) with legs r and h/2, and hypotenuse 10 (since the distance from the center to the edge of the sphere is 10). This will satisfy the Pythagorean theorem
Now use the volume and surface area formulas:
and replace your expression for r into each of these.
