Height of cylinder is doubled its radius and volume is 2156m square . Find the dimensions of the cylinder
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Answer:
Letrandhberadiusandheight.
Volumeofcylinder=πr
2
h
Hereπr
2
h=2156
h=
πr
2
2156
⟹(1)
LettotalsurfaceareaofcylinderbeS.
S=(2πr
2
+2πrh)
=(2πr
2
+2πr
πr
2
2156
)
=(2πr
2
+
r
4312
)
Diffwrtor,
dr
ds
=(4πr−
r
2
4312
)
dr
2
d
2
s
=(4π+
r
3
8624
)
Now
dr
ds
=0
(4πr−
r
2
4312
)=0
r
2
4πr
3
−4312
=0
4πr
3
=4312
r
3
=
4π
4312
r=
3
4∗22
4312∗7
r=
3
343
r=7
Step-by-step explanation:
I hope this answer can help you
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