A toy is in the shape of a solid cylinder surmounted by a conical top. The diameter of the
cylindrical and conical part is 40 cm. The height of the cylindrical part is 21 cm and the
height of the conical part is 15 cm. Find the total surface area of the toy
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A toy is in the s
Class 10th
Mathematics - Board Papers
Delhi - 2011
Answer
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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