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 6cm and 4cm respectively. Determine the surface area of the toy.
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Answer 1

Step-by-step explanation:

Conical portion

r=3cm,h=4cm

l2=r2+h2=32+42=9+16

l2=25

l=25=5cm

Spherical portion r=3cm

Surface area of the toy= CSA of hemisphere+ CSA of cone

=2πr2+πrl=2×722×3×3cm2+722×3×5cm2

=7396cm2+7330cm2=7726cm2=103.71cm2

Surface area of the toy=103.71cm2

Volume of the toy= Volume of hemisphere+ Volume of cone

=32πr3+31πr2h=3