the-total-surface-area-of-a-cylinder-having-radius-rrr-and-height-hhh-is-given-a

Question

The total surface area of a cylinder having radius $r$ and height $h$ is given as $A=2\pi r\left(r+h\right)$ . Calculate the value of $\frac{dr}{dh}$ if $A=500\pi$ , $r=5$ and $h=12$ .

Accepted Answer

$\frac{d r}{d h} = - \frac{5}{22}$

Answer

$\frac{d r}{d h} = - \frac{5}{22}$

Answer

$\frac{d r}{d h} = - \frac{5}{22}$

Answer

$\frac{d r}{d h} = - \frac{5}{22}$

The total surface area of a cylinder having radius rrr and height hhh is given as A=2πr(r+h)A=2\pi r\left(r+h\right)A=2πr(r+h). Calculate the value of drdh\frac{dr}{dh}dhdr if A=500πA=500\piA=500π, r=5r=5r=5 and h=12h=12h=12.

The total surface area of a cylinder having radius $r$ and height $h$ is given as $A=2\pi r\left(r+h\right)$ . Calculate the value of $\frac{dr}{dh}$ if $A=500\pi$ , $r=5$ and $h=12$ .