The radius of a right circular cylinder increases at a constant rate

MATHEMATICS · Numerical · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The radius of a right circular cylinder increases at a constant rate. Its altitude is a linear function of the radius and increases three times as fast as the radius. When the radius is

1\,\text{cm}

, the altitude is

6\,\text{cm}

. When the radius is

6\,\text{cm}

, the volume is increasing at

1\,\text{cm}^3\text{s}^{-1}

. When the radius is

36\,\text{cm}

, the volume is increasing at

n\,\text{cm}^3\text{s}^{-1}

. Find

\frac{n}{11}

Related theory

Motion
Related Rates
Rates of change
Rate of change of quantities

Browse the problem library