Question

a toy is in the form of a cone mounted on a hemisphere . the diameter of the base and the height of the cone are 8 cm and 3 respectively. find surface area of toy​

Answer 1

Answer:

The diameter of cone= diameter of hemisphere =8cm

So radius=8/2=4cm

height of cone=3cm

So slant height =√r²+h²

=√4²+3²

=√16+9

=√25

=5cm

So the surface area of toy=curved surface area of cone + curved surface area of hemisphere

=πrl+2πr²

=π×4×5+2×π×4×4

=π(20+32)

=π×52

=3.14×52

=163.28sqcm