The volume and the total surface area of a cone whose height and slant height are 12 cm and 13 cm respectively are ________.
Slant height of the cone is given by
l2=(h2+r2)
⇒r=√l2−h2
⇒r=√132−122
⇒r=5 cm
So, volume of cone
=13π r2h
=13×π×52×12
=13×π ×25×12
=100π cm3
Now, total surface area
=(π×r× l)+(π×r2)
=π×5× 13+π×25
=90π cm2