Q-8) From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm , a conical cavity of the same height and same diameter is hollowed out . find the total surface area of the remaining solid to the nearest cm² .
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Step-by-step explanation:
Given:
Height (h) of the conical part = Height (h) of the cylindrical part =2.4 cm
Diameter of the cylindrical part =1.4 cm
Radius = Diameter/2
Radius(r) of the cylindrical part =0.7 cm
Slant height (l) of conical part = √r2+h2
=√(0.7)2+(2.4)2
= √0.49+5.76=√6.25=2.5cm
Total surface area of the remaining solid = CSA of cylindrical part + CSA of conical part + Area of cylindrical base
=2πrh+πrl+πr2
=2×22/7×0.7×2.4+22/7×0.7×2.5+22/7×0.7x0.7
=4.4×2.4+2.2×2.+2.2×0.7
=10.56+5.50+1.54=17.60 cm2
The total surface area of the remaining solid to the nearest cm2 is 18 cm2
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