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Free PDF download of Class 10 Mathematics Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume) Revision Notes & Short Key-notes prepared by our expert Math teachers as per CISCE guidelines. To register Maths Tuitions on myboat280 boatplans to clear your doubts. View more. View more. Do you need help with your Homework? Are you preparing for Exams? Study without Internet (Offline). Download PDF. Extramarks provides ICSE Class 10 Mathematics syllabus, sample question papers, online study material for class 10 on each topic to score high in exams.� ICSE Class 10 - Mathematics. Select Your Chapter. Commercial Mathematics. Algebra. Co-ordinate Geometry. Geometry. Mensuration. Class 10 maths notes according to FBISE syllabus. Contains solved exercises, review questions, MCQs, important board questions and chapter overview.� Class 10 Maths Notes. Chapter 1 - Quadratic Equation.

Learn to find the volume of a solid and the right approach to calculate the radius of a test tube. Also, understand the mathematical calculations for solving application-based problems related to a cone or a sphere. Our ICSE Class 10 Mathematics sample question paper solutions , online practice tests and other learning materials will also help you with exam preparation.

What is the least number of solid metallic spheres, each of 6 cm diameter, that should be melted and recast to form a solid metal cone whose height is 45 cm and diameter is 12 cm? Let the number of solid metallic spheres be 'n'. Volume of 1 sphere. Volume of metallic cone. The least number of spheres needed to form the cone is A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere. Answer correct to the nearest integer.

Radius of largest sphere that can be formed inside the cylinder should be equal to the radius of the cylinder. Volume of sphere. A right circular cylinder having diameter 12 cm and height 15 cm is full of ice-cream.

The ice-cream is to be filled in identical cones of height 12 cm and diameter 6 cm having a hemi-spherical shape on the top. Find the number of cones required.

Let the number of cones be 'n'. A solid is in the form of a cone standing on a hemisphere with both their radii being equal to 8 cm and the height of cone is equal to its radius. Find in terms of , the volume of the solid. Volume of the solid. The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0. Find the length of wire. From i and ii. Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube. Volume of cube : volume of sphere.

An iron pole consisting of a cylindrical portion cm high and of base diameter 12 cm is surmounted by a cone 9 cm high. Find the mass of the pole, given that 1 cm 3 of iron has 8 gm of mass approx. In the following diagram a rectangular platform with a semicircular end on one side is 22 meters long from one end to the other end.

If the length of the half circumference is 11 meters, find the cost of constructing the platform, 1. The cross-section of a tunnel is a square of side 7 m surmounted by a semicircle as shown in the following figure.

The tunnel is 80 m long. Therefore, surface area of the inner part of the tunnel. A cylindrical water tank of diameter 2. Calculate, in minutes, the time it takes to fill the tank. Therefore, time taken at the speed of 4 m per second. Water flows, at 9 km per hour, through a cylindrical pipe of cross-sectional area 25 cm 2. If this water is collected into a rectangular cistern of dimensions 7.

Water flow in 1 hour 15 minutes. Therefore, volume of water. Let h be the height of water then,. The given figure shows the cross-section of a cone, a cylinder and a hemisphere all with the same diameter 10 cm and the other dimensions are as shown.

A solid, consisting of a right circular cone, standing on a hemisphere, is placed upright, in a right circular cylinder, Byjus Maths Class 10 Icse Quality full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm; the radius of the hemisphere is 2 cm and the height of the cone is 4 cm.

Give your answer to the nearest cubic centimeter. Therefore, volume of water which is left. A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3. An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent above the ground is 85 m and the height of the cylindrical part is 50 m.

If the diameter of the base is m, find the quantity of canvas required to make the tent. Give your answer to Ch 21 Class 10 Maths Icse Net nearest m 2. Slant height l. A test tube consists of a hemisphere and a cylinder of the same radius.

The volume of the water required to fill the whole tube is and of water are required to fill the tube to a level which is 4 cm below the top of the tube.

Find the radius of the tube and the length of its cylindrical part. Let r be the radius and h be the height of test tube. Dividing i by ii. Subtracting ii from i. Substituting the value of r in iii. A solid is in the form of a right circular cone mounted on a hemisphere. The diameter of the base of the cone, which exactly coincides with hemisphere, is 7 cm and its height is 8 cm.

The solid is placed in a cylindrical vessel of internal radius 7 cm and height 10 cm. How much water, in cm 3 , will be required to fill the vessel completely? Two solid spheres of radii 2 cm and 4 cm are Byjus Maths Class 9 Icse Flash melted and recast into a cone of height 8 cm.

Find the radius of the cone so formed. A certain number of metallic cones, each of radius 2 cm and height 3 cm, are melted and recast into a solid sphere of radius 6 cm. Find the number of cones used. Let the number of cones melted be n. A conical tent is to accommodate 77 persons. Each person must have 16m 3 of air to breathe. Given the radius of the tent as 7m, find the height of the tent and also its curved surface area. According to the condition in the question,. We know that,. Therefore the height of the tent is 24m and it curved surface area is m 2.

The height of a circular cylinder is 20 cm and the radius of its base is 7 cm. Find :. The inner radius of a pipe is 2.

How much water can 12 m of this pipe hold? A cylinder of circumference 8 cm and length 21 cm rolls without sliding for seconds at the rate of 9 complete rounds per second. How many cubic meters of earth must be dug out to make a well 28 m deep and 2. Also, find the cost of plastering its inner surface at Rs 4.

Cost of plastering at the rate of Rs 4. What length of solid cylinder 2 cm in diameter must be taken to recast into a hollow cylinder of external diameter 20 cm, 0. Let h be the length. Now, according to given condition:. A cylinder has a diameter of 20 cm. The area of curved surface is sq cm. A metal pipe has a bore inner diameter of 5 cm. The pipe is 5 mm thick all round.

Find the weight, in kilogram, of 2 metres of the pipe if 1 cm 3 of the metal weights 7. A cylindrical container with diameter of base 42 cm contains sufficient water to submerge a rectangular solid of iron with dimensions 22 cm x 14 cm Find the rise in level of the water when the solid is submerged. A cylindrical container with internal radius of its base 10 cm, contains water up to a height of 7 cm.

Find the area of wetted surface of the cylinder. Find the total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm. The height and radius of base of a cylinder are in the ratio If its volume is find Ch 8 Class 10 Maths Icse Pdf its total surface area.

Find the percentage change in its volume.

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