Miscellaneous Mensuration (Simple)

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #161

The external radius of a hollow sphere (made of lead-plate) of thickness 1 cm, is 6 cm. If a solid right-circular rod of radius 2 cm is made by melting this hollow sphere, then what will be the length of the rod?
Ans: `30 1/3` cm
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Question No: #162

Two solid spheres of diameters 20 dcm and 40 dcm are melted and recast into a cone of height 4 meters. Find the slant height of the cone so formed.
Ans: 50 dcm
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Question No: #163

A hollow sphere of internal and external diameters 4 cm. and 8 cm. respectively is melted to form a solid cone of base diameter 8 cm. Find the height of the cone.
Ans: 14 cm.
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Question No: #164

The total surface area of a solid sphere is 1386 sq.m.. If the sphere is melted and recast into solid right-circular cones of radius 3.5 cm and height 6 cm. Calculate the radius of the sphere and number of cones recast.
Ans: 10.5 cm, 63
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