\({\frac{\mathrm{d}y}{\mathrm{d}t} = \frac{\mathrm{d}y}{\phantom{\mathrm{d}t}} \times \frac{}{\mathr

Question

${\frac{\mathrm{d}y}{\mathrm{d}t} = \frac{\mathrm{d}y}{\phantom{\mathrm{d}t}} \times \frac{}{\mathrm{d}t}}$ The total surface area of a cylinder with a fixed height of $3$ cm is decreasing at the rate of $5$ cm$^{2}$/s. Find the rate of change of the volume when the radius is $2$ cm.

Accepted Answer

$ -4\frac{2}{7}\text{ c}{{\text{m}}^{3}}\text{/s}$

Differentiation - Connected Rates of Change

Differentiation - Connected Rates of Change

Video Solution:

Default solution