Mathematics

Problem

A right circular cylinder is inscribed in a sphere of radius

10\text{ cm}

. What is the radius

r

of the cylinder that maximizes its volume? a)

r=5\text{ cm}

r=\sqrt{\dfrac{100}{3}}\text{ cm}

r=\sqrt{\dfrac{200}{3}}\text{ cm}

r=\sqrt{50}\text{ cm}