Krishna
0

Step 1: Make a suitable figure for the given information.

Step 2: Note down the given data

The diameter of the base = 6 cm

Radius r = \frac{6}{2} = 3 cm

Height h = 4 cm

Step 3: Set up a formula for the surface area of the toy.

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

Surface area of the cone = \pi r l

r = radius,

l =  Slant  height = \sqrt{r^2 + h^2}

= \sqrt{3^2 + 4^2}

= \sqrt{25}

= 5 cm

Surface area of hemisphere = 2 \pi r^2

Step 2: Do the calculations

Surface area of the toy = \pi r l + 2 \pi r^2

= $\pi r[l+2r]$

= $3.14 * 3[ 5 + 2 * 3]$

= 3.14 * 33

= 103.62 cm^2