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Textbook Solutions for Class 10 Math

We have included joournal the chapter questions in the back as well as in-text questions to help students complete their homework and assignments on time. The solutions provided in this article come with step-by-step detailed solution along with diagrams. Read the article to get all the details. Chapter Description : In our day-to-day life, we come across innumerable solids made up of a combination of two or more of the basic solids.

You must have seen a truck with a container fitted on its back, carrying oil or water from one place to. Similarly, while traveling, you may have seen some big and elegant buildings or monuments made up volmue a combination of solids. If for some reason you wanted to find the surface areas, or volumes, volumd capacities of such objects, how would you do it?

In this chapter, you will see how to find surface areas and volumes of such objects. These mock tests will definitely help you in securing good marks in the exam. If you have any queries regarding this article, drop your comments below and we will get back to you as soon as possible. Stay tuned on embibe. Support: support embibe. General: info embibe. You can also use these solutions for a quick revision of the concepts before 10th ncert surface area and volume solutions journal exam or a test.

A given cone is cut in the middle through a plane that is parallel to the base of the cone. What is the name 10th ncert surface area and volume solutions journal the part left below solutuons plane after the top part of the cone is removed?

The part left is called a frustum. What will happen to the volume of a solid if its shape is changed from one form to another? The volume of the solid object will remain the. Calculate the height of a cone which is formed after melting and recasting a spherical shell of internal and external radius of 2 cm and 4 cm, respectively. The 10th ncert surface area and volume solutions journal of the cone is 14 cm.

It is melted and molded into a solid sphere. Calculate the diameter of the sphere. The diameter of the sphere is 42 cm.

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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 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. In one fortnight of a given month, there was a rainfall of 10 cm in a river valley.

If the area of the valley is km 2 , show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each km long, 75 m wide and 3 m deep. An oil funnel made of tin sheet consists of a 10 cm long cylindrical portion attached to a frustum of a cone.

If the total height is 22 cm, diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm, find the area of the tin sheet required to make the funnel.

Given, oil funnel is a combination of a cylinder and a frustum of a cone. Derive the formula for the curved surface area and total surface area of the frustum of a cone. Chapter 8 - Introduction to Trigonometry. Chapter 9 - Some Applications of Trigonom. Chapter 10 - Circles. Chapter 11 - Constructions. Chapter 12 - Areas Related to Circles. Chapter 14 - Statistics.

Chapter 15 - Probability. You can download on your device or print out these solutions for quick and easy reference during exam times. In the introduction part of Class 10 Chapter 13, you would recall what you studied in class IX about solids like a cube, cylinder, cuboid, etc.

You had learned the formulas for finding the surface area and volumes of these solids earlier. We come across multiple objects in our daily lives that are a combination of many of these shapes. For example, a truck carrying oil which is in the shape of a cylinder that has 2 hemispheres at its end. The total height of the toy is Find the total surface area of the toy. A cubical block of side 7 cm is surmounted by a hemisphere.

What is the greatest diameter the hemisphere can have? Find the surface area of the solid. A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter d of the hemisphere is equal to the edge of the cube.

Determine the surface area of the remaining solid. A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area. A tent is in the shape of a cylinder surmounted by a conical top.

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