Question

A student has rectangular sheet of dimensions 14 cm x 12 cm . He wants to make a cylinder in such a way so that volume is minimum. find the height of cylinder please answer in math.ok plzzz abhi answer or shi answer dena ok plzzz abhi do​

Answer 1

ANSWER

Surface area of rectangular sheet 14×22=308㎠

let the radius of the cylinder be r cm and height of the cylinder be h cm

surface area of the cylinder =2πrh

so 2πrh=308

⇒r=  

hπ

154

​  

....(1)

volume of the cylinder =V=πr  

2

h

putting the value of (1)

V=π(  

hπ

154

​  

)  

2

h

⇒V=  

hπ

23716

​  

 

volume will be minimum when height will be maximum

so h=22 cm

Answer 2

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