Question

A student has rectangular sheet of dimensions 14cm×22cm.He wants to make a cylinder in such, away that volume is minium.Find the height of cylinder

with full solution it's urgent​

Answer 1

Answer:

using formula of πr^h

Step-by-step explanation:

2πr=22,r=11/πcm, now using formula . your answer is539cm^3. then compute the value on given data, therfore height of cylinder is ,2πr= 14, r= 7/π ,now using volume formula we get value 343cm^3 .

Answer 2

Answer:

let h = 14 cm and c = 22 cm = (2πr)

2πr = 22 therefore r = 22/2π = 11*7/22 = 3.5 cm

V = πr²h = 22/7*3.5²*14

V1 = 539 cu cm

now let h = 22 cm and c = 14 cm = (2πr)

2πr = 14 therefore r = 14/2π = 7*7/22 = 49/22 cm

V = πr²h = 22/7*49/22*49/22*22

V2 = 343 cu cm

as V2 < V1 volume of the cylinder is minimum when tbe height is 22 cm