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If the height and slant height of a cone are 6 cm and 10 cm respecitvely. Then determine the total surface area and the volume of the cone.

Answer» The height of the right circular cone is 6cm and its slant height is 10 cm .
Let the radius of the cone be r cm.
`therefore 6^2+r^2=10^2rArr r^2=100-36=64rArr r=sqrt(64)=8`.
`therefore` the radius of the cone is 8 cm .
`therefore` the total surface area of the cone `=pi xx 8(8+10)sq-cm=(22)/(7)xx8xx18sq-cm=144pi sq-cm`.
Again , the volume of the cone `=(1)/(3)pi xx (8)^2xx6` cubic - cm `=128pi` cubic - cm.
Hence the total surface ara of the cone `=144pi ` sq-cm and volume `=128pi`cubic -cm.


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