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We have updated all the contents for new academic session Contents are free in PDF format to download without any login or registration. Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere? A metallic solid sphere of radius How many cones will be made?
In a hospital used water is collected in a cylindrical tank of diameter 2 m and height 5 m. After recycling, this water is used to irrigate a park of hospital whose length is 25 m and breadth is 20 m. If the tank is filled completely then what will be the height of standing water used for irrigation the park.
Write your views on recycling of water. 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. Find the height of the cylinder. Water in a canal, 6 m wide and 1. How much area will it irrigate in 30 minutes, if 8 cm of standing water is needed? A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius.
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