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The curved surface of a right circular i...

The curved surface of a right circular is `4400 cm^(2)` and height is `50 cm.` Find its volume and total surface area.

Text Solution

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Height of cylinder `h = 50 cm.`
Let the radius of the base of cylinder `= r cm`
`therefore` Curved surface `= 2pi rh = 4400`
`rArr 2xx(22)/(7)xx r xx50=4400`
`rArr r=(4400xx7)/(2xx22xx50)=14 cm`
Now, volume of cylinder `= pi r^(2)h`
`=(22)/(7)xx14xx14xx50`
`=30800 cm^(3)`
and total surface area `= 2pi r(h+r)`
`=2xx(22)/(7)xx14(50+14)`
`=88xx64=5632 cm^(2)`
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