Question

a cone of maximum size is carved out from a cube of edge of 14 cm find the surface area of remaining solid after cone carved out

Answer 1

maximum cone height=14cm since side of cube is 14cm
diameter of cone=14cm
r=14/2=7cm
s.a of remaining solid after cone carved out=l.s.a of square+csa of cone
=4a^2 +pie×r×l
=4×14^2+22/7×7×15.6
=784+22×15.6
ie. surface area of solid is=1127.2cm^2