a toy in the form of cone surmounted on a hemisphere of radius 7 centimetre. The total height of toy is 14.5. Find volume of toy
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Answer:
Given: toy in form of a cone mounted on a hemisphere
radius of hemisphere =3.5 cm
Total height of toy =15.5 cm
To find: Total surface area TSA = ? Volume, V = ?
Solution :
h=12 cm
r=3.5 cm
Assuming that the cone is completed mounted on hemisphere
TSA of toy = CSA of cone + CSA of hemisphere
=πrl+2πr2 [r→ radius of both cone and hemisphere as it is here]
=πr[l+2r]
=722×1035[(12)2+(3.5)2+2×1035]
=11[144+12.25+7]=11[156.25+7]
=11(12.5+7)
=11×19.5
=214.5cm2
Volume of toy = 31πr2h+32πr3
=31πr2[h+2r]
=31×
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