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 ﻿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.

Accepted Answer

drdh=−522\frac{dr}{dh}=-\frac{5}{22}

Answer

drdh=522\frac{dr}{dh}=\frac{5}{22}

Answer

drdh=225\frac{dr}{dh}=\frac{22}{5}

Answer

drdh=−225\frac{dr}{dh}=-\frac{22}{5}

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\(\pi\)A=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 $h=12$ .