From a solid right circular cylinder of a height 2.4cm and radius of 0.7cm,a right circular cone of same height and same radius is cut. Find the total surface area of the remaining solid.

-CBSE
Class
-10
-Mathematics
-Trigonometric
-Trigonometric
Subtopic -

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17.52cm2

17.57 cm2

17.11 cm2

18.57 cm2

answer is B.

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Detailed Solution

Height of cone & cylinder ,h =2.4 cm
Radius of cone and cylinder , r= 0.7 cm
Total surface area of remaining solid = curved surface area of cylinder +area of base +curved surface area of cone Total surface area of remaining Solid = 2πrh +πr2+πrl
= 2*22/7(0.7)*2.4+22/7*(0.7)2+
= 22/7*(0.7)*√(0.7)2+ (2.4)2 =10.55 cm2 +1053 cm 2+ 22/7*0.7*2.5
=10.55 cm2 + 1.53 cm2+ 5.49 cm2 T..a of remaining solid = 17.57 cm2 Thus option (b) is correct .

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