A pen stand made of wood is in the shape of a cuboid with four conical depressions and a cubical depressions to hold the pens and pins, respectively . The dimensions of the cuboid are 10 cm , 5 cm , 4cm . The radius of each of the conical depressions is 0.5 cm and depth is 2.1 cm . The edge of the cubical depression is 3cm . Find the volume of the wood in the entire stand .
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vol. of cuboid = 15*10*3.5
= 525 cm^3
vol. of wood taken out from four cavities = 4*1/3*22/7*0.5*0.5*1.4
= 22/15
= 1.47 cm^3 (approx)
vol. of wood in entire stand = 525-1.47
= 523.53 cm^3
= 525 cm^3
vol. of wood taken out from four cavities = 4*1/3*22/7*0.5*0.5*1.4
= 22/15
= 1.47 cm^3 (approx)
vol. of wood in entire stand = 525-1.47
= 523.53 cm^3
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