Question

A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboids are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand (see the following figure).

Answer 1

Volume of cuboid=15*10*3.5=525 cu cm
Volume of a cone=1/3*22/7*.5*.5*1.4=11/30cm^3
Volume of all cones=4*11/30=22/15
Volume of pen stand=525-22/15=7853/15=523.53(approx)

Answer 2

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