Class X ICSE Maths Chapter Mensuration Exercise 17.3
Welcome to our extensive collection of questions on the topic "Mensuration," designed to help you master the measurement of geometric shapes and figures. Our question bank covers a wide range of topics, including the calculation of areas, volumes, surface areas of 2D and 3D shapes such as triangles, circles, cylinders, spheres, and more. These practice questions are perfect for students aiming to strengthen their understanding of mensuration concepts and improve their problem-solving skills. Whether you're preparing for exams or enhancing your geometry knowledge, our resource is the ideal platform to practice and excel in "Mensuration."
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Take π = 22/7 unless stated otherwise
Q3 A shot-put is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per cm3 , find the mass of the shot-put.
Q5 Find:
(i) the curved surface area.
(ii) the total surface area of a hemisphere of radius 21 cm.
Q6 A hemispherical brass bowl has inner- diameter 10.5 cm. Find the cost of tin-plating it on the inside at the rate of Rs 16 per 100 cm2
Q7 The radius of a spherical balloon increases from 7 cm to 14 cm as air is jumped into it. Find the ratio of the surface areas of the balloon in two cases
Q8 A sphere and a cube have the same surface area. Show that the ratio of the volume of the sphere to that of the cube is √6 :√π
Q9 (a) If the ratio of the radii of two sphere is 3 : 7, find :
(i) the ratio of their volumes. (ii) the ratio of their surface areas. (b) If the ratio of the volumes of the two sphere is 125 : 64, find the ratio of their surface areas
Q12 A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?
Q13 The surface area of a solid sphere is 1256 cm². It is cut into two hemispheres. Find the total surface area and the volume of a hemisphere. Take π = 3.14.
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