Question

A toy is in the form of a cone mounted on a hemisphere. The diameter of the
base and height of the cone are 6 ) and 4 cm respectively. Determine the
surface area of the toy. (Use 3.14)​

Answer 1

Given :

For cone -

h=4cm

d=6m

r=3cm

Slant height of the cone l = root r²+h²

l = √3²+4²

l = 5

Lateral surface area of the cone = πrl

⇒ 3.14 × 3 × 5

⇒ 3.14 × 15

⇒ 47,10 cm²

For Hemisphere -

d=6cm

r= 3cm

Lateral surface area of hemisphere = 2πr²

2 × 3.14 × 3²

=2 × 3.14 × 9

=18 × 3.14

=56.52 cm²

The surface are of toy = lateral surface area of cone + lateral surface area of hemisphere

47.10 + 56.52

= 103.62cm³  

∴ The total surface area of toy = 103.62cm³

Hope its correct<3

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