The volume of a solid cylinder is `448\ pic m^3` and height 7cm. Find its lateral surface area and total surface area.

Explanation

Let the radius of the cylinder be `r`
Height of the cylinder `h=7 cm`
Volume`=448picm^3`
`pir^2h=448pi`
`r^2=448/7=64`
`r=8 cm`
Lateral surface area`=2pirh=2xx22/7xx8xx7`
`therefore` Lateral surface area`=352 cm^2`
Total surface area`=2pir(r+h)=2xx22/7xx8(7+8)`
Total surface area`=5280/7`
`therefore` Total surface area`=754.28 cm^2`