a toy is in the shape of a solid cylinder surmounted by a conical top.if the height of and diameter of the cylindrical part are 21cm and 40cm respectively and the height of cone is 15cm then find the total surface area of the toy
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Answer:
5463.3cm2
Explanation:
Radius= Diameter/2 =40/2
Radius=20cm
Height of cylinder=21cm
Height of cone=15cm
Slant height of cone,l=√ h2 + r2
l=√ (15)2 + (20)2
l=√ 225 + 400=√ 625
l=25cm
Total surface area of toy= Curved surface area of cone
+ Curved Surface area of cylinder+ Area of bottom part
Total surface area=πrl + 2πrhcyl + πr2
=3.14[20 × 25 + 2 × 20 × 21 + 20 × 20]
=3.14[1740]=5463.6cm2
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