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Class 10 Civics Chapter 1 Extra Questions and Answers Power Sharing � Learn Cram Apr 30, �� Chapter 13 class 10 Maths helps the students understand concepts related to the topic surface area and volumes of different shapes. It also covers the conversion of a solid from one shape to another and finding the surface area Ch 10 Maths Class 10 Important Questions Ltd and volume of this new shape. The important questions compiled by Vedantu cover: Introduction to surface area and volumes. Aug 20, �� Students can get Class 10 Maths NCERT Solutions, CBSE Class 10 Maths Important Extra Questions and Answers designed by subject expert teachers. To understand important SSC Maths concepts & solve any type of questions in the board exams, we have come up with an amazing & effective exam resource ie., class 10th maths extra questions and answers pdf. Oct 18, �� In this page, you will find Class 10 Maths NCERT Solutions Chapter 13 Surface Areas and Volumes which are very helpful in knowing the important topics in the chapter and completing your homework in no time. These NCERT Solutions for Class 10 Maths will give you step by step solutions of every questions. Our experts have updated these solutions according to the latest pattern of CBSE.
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The radius of each of the depressions is 0. Find the volume of wood in the entire stand see figure. A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water upto the brim. When lead shots, each of which is a sphere of radius 0. Find the number of lead shots dropped in the vessel.

A solid iron pole consists of a cylinder of height cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm 3 of iron has approximately 8 g mass. A solid consisting of a right circular cone of height cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom.

Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is cm. A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.

By measuring the amount of water it holds, a child finds its volume to be. A metallic sphere of radius 4. Find the height of the cylinder. Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere.

Find the radius Class 10 Maths Ch 5 Extra Questions Validation of the resulting sphere. Let r1, r2 and r3 be the radius of given three spheres and R be the radius of a single solid sphere. A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform. A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular Basic Questions Of Maths For Class 5 Zoom ring of width 4m to form an embankment.

Find the height of the embankment. A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream.

The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream. Let the height and radius of ice cream container cylinder be h1 and r1. How many silver coins, 1. We know that, every coin has a shape of cylinder. Let radius and height of the coin are r1 and h1 respectively. A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand.

This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap. Let the radius and slant height of the heap of sand are r and l. 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 farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep.

A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass. The slant height of a frustum of a cone is 4 cm and the perimeters circumference of its circular ends are 18 cm and 6 cm.

Find the curved surface area of the frustum. Let the slant height of the frustum be l and radius of the both ends of the frustum be r1 and r2. A fez, the cap used by the turks, is shaped like the frustum of a cone see figure. If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it. Let the slant height of fez be l and the radius of upper end which is closed be r1 and the other end which is open be r2.

A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Also find the cost of metal sheet used to make the container. Let h be the height of the container, which is in the form of a Ch 8 Maths Class 10 Extra Questions Workbook frustum of a cone whose lower end is closed and upper end is opened. Also, let the radius of its lower end be r1 and upper end be r2. Let r1 and r2 be the radii of the frustum of upper and lower ends cut by a plane.

A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8. When a wire is one round wound about a cylinder, it covers a 3 mm of length of the cylinder. A right triangle, whose sides are 3 cm and 4 cm other than hypotenuse is made to revolve about its hypotenuse.

Find the volume and surface area of the double cone so formed. Porous bricks are placed in the water until the cistern is full to the brim. Each brick absorbs one-seventeenth of its own volume of water. Introduction to surface area and volumes. Surface area of a combination of solids.

Volume of a combination of solids. Conversion of a solid from one shape to another shape. Frustum of a cone. Sometimes a complex solid figure is made up of a combination of two or more basic solid figures.

Such a complex figure can be broken down into simpler figures and area can be calculated for these simple figures. Students will learn how to find the volume of solids and the volume of solids that have been formed by joining two simple or basic solids.

The important questions help the students understand how to find the radius and the volume when one shape is converted to another shape, or when a liquid from one container of a particular shape is transferred to another container of a different shape. When a cone is cut with a plane parallel to its base, and the cone formed on the other side of this plane is removed, the part left is called the frustum of the cone.

The questions have been solved according to the CBSE guidelines and help the students in understanding how a particular type of question needs to be solved.

With the help of the important questions, students can become proficient in answering all kinds of questions that can be framed on the concept of surface area and volume. There can be trick questions based on a topic in the exam. By practising these important questions students will be prepared for all kinds of questions.

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