Curved surface area of a cone is `308\ c m^2` and its slant height is 14cm. Find the radius of the base and total surface area of the cone.

Explanation

Curved surface area of the cone`=308cm^2`
Slant height `l=14 cm`
Curved surface area of the cone`=pirl`
`308=22/7×r×14`
`r=(22xx14)/(308xx7)`
`r=7cm`
Total surface area of the cone`=pir(r+l)`
`=(22/7xx7)(7+14)=22xx21=462 cm^3`
Total surface area of the cone`=462cm^2`
`therefore` The radius of the base of the cone`=7 cm`
The total surface area of the cone`=462cm^2`