Mensuration is a topic which is asked in several government exams like ssc cgl,CHSl,FCI,STate level government exams.
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Example 1# 3 spherical balls of radii 1 cm, 2 cm and 3 cm are melted to form a single spherical ball. In the process, the loss of material is 25%. The radius of the new ball is :
Example 2# A cylindrical can whose base horizontal and is of internal radius 3.5 cm contains sufficient water so that when a solid sphere is placed inside, water just covers the sphere. The sphere fits in the can exactly. The depth of water in the can before the sphere was put is :
Example 3# A large solid sphere is melted and moulded to form identical right circular cones with base radius and height same as the radius of the sphere. One of these cones is melted and moulded to form a smaller solid sphere. Then the ratio of the surface area of the smaller to the surface area of the larger sphere is :
Example 4# S1 and S2 are the surface area of a sphare and curved surface area of a circumscribed cylinder respectively. Then S1 is equal to
Example 5# A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
Example 6# A cubical block of side 7 cm is surmounted by a largest hemisphere. Find the surface area of the solid.
Example 7# A A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the cost of the canvas of the tent at the rate of Rs 500 per m2
Example 8# A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in figure. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface area of the article
Example 9# A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphare of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find colume of water left in the cylinder, if the radius of the cylinder is 60 cm and height 180 cm.