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This set of textbook solutions is considered one of the best reference study materials for Maths revision. So, do a thorough revision of chapters and get ready to pass your Maths exam with flying colours. Understand the concept of Goods and Services Tax in this chapter. Make use of Selina ICSE Class 10 Maths solutions Chapter 2 to learn how to use the chapter formulae for finding the maturity value and interest of recurring deposit accounts.
Also, our Selina Class 10 Maths solutions for Chapter 2 will help you revise crucial banking-related concepts. Through our Selina solutions, understand topics such as market value, face value, dividend, premium, rate of dividend etc. In addition, learn how to calculate income and return from share investments using the formulae given in this ICSE Mathematics Class 10 chapter.
This chapter explains the graphical method of representing solutions on a number line and the algebraic method of solving linear inequations. The textbook questions in ICSE Mathematics Class 10 Chapter 5 require you to write solutions involving proofs based on quadratic equations. For instance, you may come across questions asking you to prove whether the given equation is a quadratic equation. The given information in the textbook problems for this chapter includes integers, reciprocals etc.
Find out how to calculate the sub-duplicate ratio, sub-triplicate ratio or reciprocal ratio as per the data given in the exercise questions. Selina ICSE Class 10 Maths solutions Chapter 8 assist you to use the remainder theorem and the factor theorem for solving problems related to polynomials.
Learn the steps to factorise the expression given in the exercise questions with our solutions for concise Mathematics Class 10 Selina textbook Chapter 8. Also, study the concept of matrices in detail by learning more about addition, subtraction and multiplication of a 2x2 matrix. Use our expert answers to learn how to find the first term and common difference in an arithmetic progression.
In addition, learn the concept of the general term of an arithmetic progression and its application. Practise Selina textbook questions and answers to thoroughly grasp the concepts in Chapter For additional help to grasp the concepts, view our ICSE Class 10 Maths video lessons with simplified explanations on the concept of geometric progression by a Maths expert. As per the ICSE Class 10 Maths syllabus , Chapter 12 covers topics such as reflection of a point in a line, reflection of a point in the origin and invariant points.
ICSE Mathematics Class 10 Chapter 13 discusses the concept of section formula and mid-point formula in co-ordinate geometry.
Also, study the application of the mid-point formula and the section formula by practising with our solutions for this chapter. Through the Chapter 14 Selina Maths Class 10 solutions, learn to find the point of intersection between two lines. Let the radius of the smaller cone be 'r' cm. Volume of larger cone.
A solid rectangular block of metal 49 cm by 44 cm by 18 cm is melted and formed into a solid sphere. Calculate the radius of the sphere. Let r be the radius of sphere. A hemi-spherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into conical shaped small containers each of diameter 3 cm and height 4 cm.
How many containers are necessary to empty the bowl? A hemispherical bowl of diameter 7. This sauce is poured into an inverted cone of radius 4. Find the height of the cone if it is completely filled. A solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0. Find the number of spheres formed.
Volume of a cone. The total area of a solid metallic sphere is cm 2. It is melted and recast into solid right circular cones of radius 2. Number of cones. A solid metallic cone, with radius 6 cm and height 10 cm, is made of some heavy metal A. In order to reduce weight, a conical hole is made in the cone as shown and it is completely filled with a lighter metal B.
The conical hole has a diameter of 6 cm and depth 4 cm. Calculate the ratio of the volume of the metal A to the volume of metal B in the solid. Volume of the whole cone of metal A. Volume of the cone with metal B. A hollow sphere of internal and external radii 6 cm and 8 cm respectively is melted and recast into small cones of base radius 2 cm and height 8 cm.
Find the number of cones. Let the number of small cones be 'n'. Volume of small spheres. The surface area of a solid metallic sphere is cm 2. It is melted and recast into solid right circular cones of radius 3. Calculate :. A cone of height 15 cm and diameter 7 cm is mounted on a hemisphere of same diameter. Determine the volume of the solid thus formed. A buoy is made in the form of a hemisphere surmounted by a right cone whose circular base coincides with the plane surface of the hemisphere.
The radius of the base of the cone is 3. Calculate the height of the cone and the surface area of the buoy, correct to two decimal places. From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Area of circular base. Area of curved surface area of cone. Surface area of remaining part.
The cubical block of side 7 cm is surmounted by a hemisphere of the largest size. Find the surface area of the resulting solid. The diameter of the largest hemisphere that can be placed on a face of a cube of side 7 cm will be 7 cm. A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of the top which is open is 5 cm.
It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0. Find the number of lead shots dropped in the vessel. Therefore, No. A hemispherical bowl has negligible thickness and the length of its circumference is cm.
Let r be the radius of the bowl. Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r cm. Volume of the cone. The radii of the bases of two solid right circular cones of same height are r 1 and r 2 respectively. The cones are melted and recast into a solid sphere of radius R.
Find the height of each cone in terms r 1 , r 2 and R. Let the height of the solid cones be 'h'. Volume of solid circular cones.
A solid metallic hemisphere of diameter 28 cm is melted and recast into a number of identical solid cones, each of diameter 14 cm and height 8 cm. Find the number of cones so formed. Volume of the solid hemisphere. Volume of 1 cone. A cone and a hemisphere have the same base and same height. Let the radius of base be 'r' and the height be 'h'.
Volume of cone, V c. Volume of hemisphere, V h. From a solid right circular cylinder with height 10 cm and radius of the base 6 cm, a right circular cone of the same height and same base are removed. Find the volume of the remaining solid. Volume of the remaining part. From a solid cylinder whose height is 16 cm and radius is 12 cm, a conical cavity of height 8 cm and of base radius 6 cm is hollowed out.
Find the volume and total surface area of the remaining solid. A circus tent is cylindrical to a height of 4 m and conical above it.
If its diameter is m and its slant height is 80 m, calculate the total area of canvas required. Also, find the total cost of canvas used at Rs 15 per meter if the width is 1. Total cost of canvas at the rate of Rs 15 per meter. A circus tent is cylindrical to a height of 8 m surmounted by a conical part. If total height of the tent is 13 m and the diameter of its base is 24 m; calculate:.
A cylindrical boiler, 2 m high, is 3. It has a hemispherical lid. Find the volume of its interior, including the part covered by the lid. A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base.
The depth of the cylindrical part is and the diameter of hemisphere is 3. Calculate the capacity and the internal surface area of the vessel. A wooden toy is in the shape of a cone mounted on a cylinder as shown alongside. A cylindrical container with diameter of base 42 cm contains sufficient water to submerge a rectangular solid of iron with dimensions 22 cm 14 cm Spherical marbles of diameter 1. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.
Volume of one ball. The cross-section of a railway tunnel is a rectangle 6 m broad and 8 m high surmounted by a semi-circle as shown in the figure. The tunnel is 35 m long. Find the cost of plastering the internal surface of the tunnel excluding the floor at the rate of Rs 2.
Internal surface area of the tunnel. Therefore, total expenditure. The horizontal cross-section of a water tank is in the shape of a rectangle with semicircle at one end, as shown in the following figure. The water is 2. Calculate the volume of water in the tank in gallons. Therefore, Volume of water filled in gallons.
The given figure shows the cross-section of a water channel consisting of a rectangle and a semicircle. Assuming that the channel is always full, find the volume of water discharged Byjus Class 7 Maths Icse Solutions Github through it in one minute if water is flowing at the rate of 20 cm per second. Give your answer in cubic meters correct to one place of decimal. Flow of water in one minute at the rate of 20 cm per second. An open cylindrical vessel of internal diameter 7 cm and height 8 cm stands on a horizontal table.
Inside this is placed a solid metallic right circular cone, the diameter of whose base is cm and height 8 cm. Find the volume of water required to fill the vessel. If this cone is replaced by another cone, whose height is cm and radius of whose base is 2 cm, find the drop in the water level. Volume of the cylinder. On placing the cone into the cylindrical vessel, the volume of the remaining portion where the water is to be filled. Therefore, volume of new cone. Let h be the height of water which is dropped down.
A cylindrical can, whose base is horizontal and of radius 3. Given that the sphere just fits into the can, calculate:. A hollow cylinder has solid hemisphere inward at one end and on the other end it is closed with a flat circular plate. The height of water is 10 cm when flat circular surface is downward. Find the level of water, when it is inverted upside down, common diameter is 7 cm and height of the cylinder is 20 cm.
Let the height of the water level be 'h', after the solid is turned upside down. Volume of water in the cylinder. Volume of the hemisphere. Enter the OTP sent to your number Change.
Resend OTP. Starting early can help you score better! Avail Offer. Question 2. State Board. Study Material. Previous Year Papers.
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