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my question...
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Radius of cone (r) = 2.5 cm , HEIGHT OF CONE (h) =6cm ,radius of cylinder (r1) = 1.5 cm ,
height of cylinder (h1) = 26 - 6 = 20cm
slant height of cone (l) = under root r2 + h2 = under root 2.52 +62 = 6.5 cm
Here, the conical portion has its circular base resting on the base of cylinder, but the base of cone is larger than the base of cylinder. so a part of the base of cone (a ring) is to be painted.
Now take a look on figure i have made from 'paint.'
so the ar to be painted orange = CSA of cone = base area of cone - base area of cylinder
=pie rl + pie r2 - pie(r1)2
= pie [(2.5 * 6.5) + (2.5)2 - (1.5)2] cm2
= pie [20.25]cm2 = 3.14 * 20.25 cm2
=63.585 cm2
now, the area to be painted yellow = Csa of cylinder + area of one base of cylinder
=2 pier1h1 + pie (r1)2
=pie r1 (2h1 + r1)
= (3.14 * 1.5 ) (2*20 + 1.5) cm2
= 4.17 * 41.5 cm2
= 195.465 cm2
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I҈ T҈
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Y҈ O҈ U҈
height of cylinder (h1) = 26 - 6 = 20cm
slant height of cone (l) = under root r2 + h2 = under root 2.52 +62 = 6.5 cm
Here, the conical portion has its circular base resting on the base of cylinder, but the base of cone is larger than the base of cylinder. so a part of the base of cone (a ring) is to be painted.
Now take a look on figure i have made from 'paint.'
so the ar to be painted orange = CSA of cone = base area of cone - base area of cylinder
=pie rl + pie r2 - pie(r1)2
= pie [(2.5 * 6.5) + (2.5)2 - (1.5)2] cm2
= pie [20.25]cm2 = 3.14 * 20.25 cm2
=63.585 cm2
now, the area to be painted yellow = Csa of cylinder + area of one base of cylinder
=2 pier1h1 + pie (r1)2
=pie r1 (2h1 + r1)
= (3.14 * 1.5 ) (2*20 + 1.5) cm2
= 4.17 * 41.5 cm2
= 195.465 cm2
H҈ O҈ P҈ E҈
I҈ T҈
H҈ E҈ L҈ P҈ S҈
Y҈ O҈ U҈
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