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The height of a cone is 30 cm. From its topside a small cone is cut by a plane parallel to its base. The height of a cone is 10 cm. The cone is divided into two parts using a plane parallel to its base at the middle of its height. Find the ratio of the volumes of the two parts. To solve some problems related to daily life situations involving surface areas and volumes of above solid figures. For solving above type of problems, we need to find the perimeters and areas of simple closed plane figures figure which lie in a plane and surface areas and volumes of solid figures figures which do not lie wholly in a plane.
You are already familiar with the concepts of perimeters, areas, surface areas and volumes. In this chapter, we will study these in details. Archimedes of Syracuse, Sicily, is remembered as the greatest Greek mathematician of the ancient era. He contributed significantly in geometry regarding the areas of plane figures and the areas and volumes of solid figures. He proved that the volume of a sphere is equal to two-third the volume of a circumscribed cylinder.
Download and practice to score good marks and solve your doubts easily. A metallic sphere of radius 4. A metallic sphere of radius 4. Find the height of the cylinder. Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere. A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.
A well of diameter 3 m is dug 14 m deep. The earth taken out of Ncert Solutions For Class 10th Science Chapter 1 File it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment.
Find the height of the embankment. A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.
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