A right circular cylinder is inscribed in a sphere of radius

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

10\text{ cm}

. What is the radius

r

of the cylinder that maximizes its volume? (a)

r=5\text{ cm}

(b)

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

(c)

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

(d)

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