External height (l) of book self = 85 cm
External breadth (b) of book self = 25 cm
External height (h) of book self = 110 cm
Externalsurface area of shelf while leaving out the front face of the shelf
= lh +2 (lb + bh)
= [85 × 110 + 2 (85 × 25 + 25 × 110)] cm2
= (9350 + 9750) cm2
= 19100 cm2
Area of front face = [85 × 110 − 75 × 100 + 2 (75 × 5)] cm2
= 1850 + 750 cm2
= 2600 cm2
Area to be polished = (19100 + 2600) cm2 = 21700 cm2
Cost of polishing 1 cm2 area= Rs 0.20
Cost of polishing 21700 cm2 areaRs (21700 × 0.20) = Rs 4340
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It can be observed that length (l),breadth (b),and height (h)of each row of the book shelf is 75 cm, 20 cm, and 30 cm respectively.
Area to be painted in 1 row = 2 (l + h) b + lh
= [2 (75 + 30) × 20 + 75 × 30] cm2
= (4200 + 2250) cm2
= 6450 cm2
Area to be painted in 3 rows = (3 × 6450) cm2 = 19350 cm2
Cost of painting 1 cm2 area= Rs 0.10
Cost of painting 19350 cm2 area= Rs (19350 × 0.1)
= Rs 1935
Totalexpense required for polishing and painting = Rs (4340 + 1935)
= Rs 6275
Therefore, it will cost Rs 6275 for polishing and paintingthe surface of the bookshelf.
Surface area of wooden sphere = 4πr2
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Radius (r1) ofthe circular end of cylindrical support = 1.5 cm
Height (h)of cylindrical support = 7 cm
CSA of cylindrical support = 2πrh
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Area of the circular end ofcylindrical support = πr2 
= 7.07 cm2
Area to be painted silver = [8 × (1386 − 7.07)] cm2
= (8 × 1378.93) cm2 =11031.44 cm2
Cost forpainting with silver colour = Rs (11031.44 × 0.25) = Rs 2757.86
Area to be painted black = (8 × 66) cm2 = 528 cm2
Cost forpainting with black colour = Rs (528 × 0.05) = Rs 26.40
Total costin painting = Rs (2757.86 + 26.40)
= Rs2784.26
Therefore, it will cost Rs 2784.26 in painting in such away.