Question

a toy is in the form of a cone of radius 3cm mounted on a hemisphere of the same radius. the slant height of the cone shape is 15cm. .find the total surface area of the toy​

Answer 1

Answer:

A≈169.65cm²

Step-by-step explanation:

A=πrl+πr2=π·3·15+π·32≈169.646cm²

Answer 2

Answer:

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

Slant height of the cone, l = 15 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

$$\begin{lgathered}\sf \implies \: \pi rl + 2\pi {r}^{2} \\ \\ \sf \implies \: \pi r(l + 2r) \\ \\ \sf \implies \: \frac{22}{7} \times 3(15 + 2 \times 3) \\ \\ \sf \implies \: \frac{22 \times 3 \times 16}{7} = 150.85 \: {cm}^{2}\end{lgathered}$$

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