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4. A pen stand made of wood is in the shape of aFig. 13.15cuboid with four conical depressions to hold pens.The dimensions of the cuboid are 15 cm by 10 cm by3.5 cm. The radius of each of the depressions is 0.5cm and the depth is 1.4 cm. Find the volume ofwood in the entire stand (see Fig. 13.16).5. A vessel is in the form of an inverted cone. Itsheight is 8 cm and the radius of its top, which isopen, is 5 cm. It is filled with water up to the brim.When lead shots, each of which is a sphere of radius0.5 cm are dropped into the vessel, one-fourth ofthe water flows out. Find the number of lead shotsdropped in the vessel.Fig. 13.16 |
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