Question

A toy is in the form of a cone of radius 3cm mounted on a hemisphere of same radius . The slant height of the cone shape is 10 cm .Find the total surface area of the toy

Answer 1

l=10cm
r=3cm
curved surface area of cone =πrl
curved surface area of hemisphere=2πr²
total=πrl+2πr²
=πr(l+2r)
=22/7×3(10+6)
=22/7×48
=1056/7
=150.857cm²

Answer 2

The figure of the given situation is attached alongwith this answer.

Slant height of the cone, l = 10 cm

Radius of the cone and hemisphere, r = 3 cm

We need to find out the surface area of the toy.

Total Surface area of the toy = Curved Surface Area of the cone + Curved Surface Area of the hemisphere

$\sf \implies \: \pi rl + 2\pi {r}^{2} \\ \\ \sf \implies \: \pi r(l + 2r) \\ \\ \sf \implies \: \frac{22}{7} \times 3(10 + 2 \times 3) \\ \\ \sf \implies \: \frac{22 \times 3 \times 16}{7} = 150.85 \: {cm}^{2}$

Thus, the surface area of the toy is 150.85 cm².