Question

A solid toy is in the form of a hemisphere surmounted by a right circular
cone of same radius. The height of the cone is 10 cm and the radius of the
base is 7 cm. Determine the volume of the toy. Also find the area of the
coloured sheet required to cover the toy. (Use a = -- and 149 = 12:2)
22​

Answer 1

Answer:

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Answer 2

Volume of the toy = 1232 cm³

Area of coloured required to cover the toy = 576.4 cm²

r - radius of the cone and the hemisphere = 7 cm

h - height of the cone = 10 cm

l - length of the cone = √(100+49) = 12.2 cm

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

= (1/3)πr²h + (2/3) πr³

= (π/3)r² (h+2r)

= (22/7) × (1/3) × 49 × 24

= 22 × 7 × 8

= 1232 cm³

The area of the coloured sheet required = lateral surface area of cone + lateral surface area of the hemisphere

= 2πr² + πrl

= πr(2r+l)

= (22/7) × 7 × 26.2

= 576.4 cm²