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NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.2 Surface Areas and Volumes in Hindi and English Medium updated for session 2024-25. The video solutions of Exercise 12.2 class 10 Maths explains each question in a simplified way. Get it to solve all the questions easily.
Class 10 Maths Exercise 12.2 Solutions
Class 10 Maths Exercise 12.2 in Hindi Medium
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Class 10 Maths Chapter 12 Solutions
Class 10 Maths NCERT Solutions
Class 10 all Subjects NCERT Solutions
Class 10 Maths Exercise 12.2 delves into finding the volumes of combinations of solids. To excel in this section, you need to be clear about the volume formulas for shapes like cylinders, cones, spheres and cuboids. Start by revisiting how to calculate the volume of individual shapes and then learn how to combine their volumes when they are attached to form a single object. Remember, unlike surface areas, the volumes of different solids are always additive, so you don’t need to subtract any overlapping parts. Practice problems that ask for the total volume of shapes, paying close attention to the units used in the questions.
When preparing for this exercise, it is essential to visualize the combined shapes and break them down into simpler components. Make sure to focus on word problems, as these are common in exams and often describe real-world scenarios like toys or buildings. Draw diagrams if necessary and label dimensions clearly. Solving a variety of problems will help you become familiar with the different ways these shapes can be combined, which is key for doing well in exams.
| Class: 10 | Maths |
| Contents: | Surface Areas and Volumes Solutions |
| Chapter 12: | Exercise 12.2 |
| Medium: | English and Hindi Medium |
| Session: | CBSE 2024-25 |
| Content Type: | PDF and Videos |
Class 10 Maths Exercise 12.2 Questions in Detail
- A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.
- Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made.
- A gulab jamun, contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.
- A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.
- 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 up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.
- A solid iron pole consists of a cylinder of height 220 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 cm³ of iron has approximately 8g mass.
- A solid consisting of a right circular cone of height 120 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 180 cm.
- A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm³. Check whether she is correct, taking the above as the inside measurements, and π = 3.14.
NCERT Solutions for Class 10 Maths Exercise 12.2 in Hindi and English
Class 10 Maths Ex. 12.2 Surface Areas and Volumes (or Mensuration) in Hindi Medium and English Medium or View in Video Format based on updated NCERT Books 2024-25. Download CBSE Offline Apps 2024-25 for updated NCERT Solutions for the current academic session 2024-25. Join the discussion forum to ask your questions with other users and our experts. You can reply to the questions asked by other also. This is actually knowledge sharing platform.
10 Maths Chapter 12 Exercise 12.2 Solutions
NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.2 Surface Areas and Volumes in English & Hindi Medium free to download. All solutions are appropriate for the academic session 2024-25. NCERT Solutions are free for CBSE and UP board, High School as well as all board following NCERT Books as a course book. Visit to Class 10 Maths Chapter 12 main all exercises. Videos related to all the exercises are also available free to use.
About 10 Maths Exercise 12.2
In Exercise 12.2, questions are based on volumes of solid figures. In case of solid figures, including two or more figure, we have to find directly the volumes of all figures and then add or subtract as per requirement of question. This chapter is just the continuation of the Chapter 12 Class 9 Maths. Question number 4, 5, and 8 are somehow tricky one. All the questions in Exercise 12.1 were based on Surface Areas but in Exercise 12.2 questions are based on the concept of Volume.
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All the solutions are updated for the academic session 2024-25 with care by experts of Maths. If still, there is some mistake or error, please notify us. We will make it correct as soon as possible. Your suggestions always make the contents error free and most suitable for the students.
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Which is the difficult section of exercise 12.2 of 10th Maths?
While solving examples 5, 7 and Questions 3, 5, 7, 8 of exercise 12.2 (class 10th math), students face difficulty because these questions are a little challenging compared to other questions of this exercise and need proper attention while solving.
What to study in exercise 12.2 of class 10 Mathematics?
In exercise 12.2 of class 10 math, students will study how to find the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere and hemisphere.
Is exercise 12.2 of class 10 math important from an exam point of view?
Yes, exercise 12.2 of class 10 math is very important from an exam point of view. All questions and examples of this exercise are important, good, interesting and logical. Also, all questions and examples of this exercise are of a different type. So, students should practice all questions and examples of this exercise for the exam. Every year questions come from this exercise in board exams.
Which solid figures are given to explore Ex. 12.2 of 10th Maths?
Examples of solid which are formed by combining any two of the basic solids, namely, cuboid, cone, cylinder, sphere and hemisphere, are:
1) Capsules (Medicine): Made up of two hemispheres and one cylinder.
2) Playing top (lattu): Made up of one cone and one hemisphere.
3) Rocket: Made up of one cone and one cylinder.
How long it takes to complete exercise 12.2 of class 10th Maths?
Students need a maximum of four days to complete exercise 12.2 (chapter 12) of class 10th Maths if they give 1-2 hours per day to this exercise. This time also depends on student’s speed, efficiency, capability and many other factors.
