A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of
the base of the cone is lo cm and its height is 15 cm. Find the cost of painting the toy
at 7 per 100 cm
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Step-by-step explanation:
given in figure drawn csa of cone add csa of hemisphere gives the area to be pai ted
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Solutions:-
- Length of the cone = 15cm
- Diameter of the cone base and hemisphere = 16cm.
therefore,
radius of the cone base and hemisphere = 16/2 = 8cm
The slant height of the cone l = √ r²+ h²
=> l = √r² + h²
=> √8² + 15²
=> √64 + 225
=> √289
=> 17cm
Now,
Total surface area = lateral surface area of the cone + surface area of the hemisphere surface area
=> πrl + 2πr²
=> 22/7 × 8 × 17 + 2 × 22/7 × 8²
=> 2992/7 + 2816/7
=> 427.42 + 402.28
=> 829.71cm²
So,
The total surface area of the toy is 829.71cm²
Now,
The rate of painting the toy = Rs 7 per 100cm²
=> Rs 7/100cm²
So,
The cost of painting the = total surface area × rate of painting
=> 829.17 × 7/100
=> 58.08
Hence, the cost of painting the toy is Rs 58.08.
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