Class X ICSE Maths Chapter Mensuration Exercise 17.2
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."
Select Exercise
Take π = 22/7 unless stated otherwise
Q1 Find the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm.
Q2 Diameter of the base of a cone is 10.5 cm and slant height is 10 cm. Find its curved surface area
Q3 Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find ,
(i)radius of the base
(ii)total surface area of the cone
Q4 Find the volume of the right circular cone with
(i) radius 6 cm and height 7 cm
(ii) radius 3.5 cm and height 12 cm
Q5 Find the capacity in litres of a conical vessel with
(i) radius 7 cm, slant height 25 cm
(ii) height 12 cm, slant height 13 cm
Q6 A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kiloliters ?
Q7 If the volume of a right circular cone of height 9 cm is 48π cm3 , find the diameter of its base.
Q8 The height of a cone is 15 cm. If its volume is 1570 cm2 , find the radius of the base. (Use π = 3.14)
Q9 The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white washing its curved surface area at the rate of Rs 210 per 100 m2.
Q10 A conical tent is 10 m high and the radius of its base is 24 m. Find :
(i) slant height of the tent.
(ii) cost of the canvas required to make the tent, if the cost of 1 m2 canvas is Rs 70.
Q11 A Jocker’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the cloth required to make 10 such caps.
Q12 (a) The ratio of the base radii of two right circular cones of the same height is 3 : 4. Find the ratio of their volumes
(b) The ratio of the heights of two right circular cones is 5 : 2 and that of their base radii is 2 : 5. Find the ratio of their volumes
(c) The height and the radius of the base of a right circular cone is half the corresponding height and radius of another bigger cone. Find:
(i) the ratio of their volumes.
(ii) the ratio of their lateral surface areas.
Q13 Find what length of canvas 2 m in width is required to make a conical tent 20 m in diameter and 42 m in slant height allowing 10% for folds and the stitching. Also find the cost of the canvas at the rate of Rs 80 per metre.
Q14 The perimeter of the base of a cone is 44 cm and the slant height is 25 cm. Find the volume and the curved surface of the cone.
Q15 The volume of a right circular cone is 9856 cm3 and the area of its base is 616 cm2 . Find
(i) the slant height of the cone.
(ii) total surface area of the cone
Q16 A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the volume and the curved surface of the cone so formed. (Take π = 3.14)
Q17 The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section cut?
Q18 A semi-circular lamina of radius 35 cm is folded so that the two bounding radii are joined together to form a cone. Find
(i) the radius of the cone.
(ii) the (lateral) surface area of the cone.
Add a comment