Table of Contents

Class 10 maths 12.2 NCERT solutions

NCERT Solutions For Class 10 Maths Chapter 12 Surface Areas and Volumes Ex-12.2

Download the free NCERT Maths Chapter 12 Solutions for Class 10 here Surface Areas and Volumes in Maths Class 10 NCERT Solutions are a great resource for homework assistance. For class 10 maths 12.2 NCERT solutions Expert Bhautikstudy.com Teachers developed the NCERT Solutions. Complete solutions to all the problems in NCERT Textbook’s Chapter 12 Math Class 10 Surface Areas and Volumes Exercise 12.2.

Class 10 Maths 12.2 NCERT Solutions Question 1.

1. 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 being equal to its radius. Find the volume of the solid in terms of π.

Solution:

Class 10 Maths 12.2 NCERT Solutions Question 2.

2. 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. (Assume the outer and inner dimensions of the model are nearly the same.)

Solution:

Class 10 Maths 12.2 NCERT Solutions Question 3.

3. 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 a length of 5 cm and a diameter of 2.8 cm (see figure).

 

Ncert solutions class 10 chapter 13-14

Solution:

Class 10 Maths 12.2 NCERT Solutions Question 4.

4. 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 (see Fig.).

 

Ncert solutions class 10 chapter 13-15

 

Solution:

Class 10 Maths 12.2 NCERT Solutions Question 5.

5. 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.

 

Solution:

Class 10 Maths 12.2 NCERT Solutions Question 6.

6. 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 8 g mass.

 

Solution:

Class 10 Maths 12.2 NCERT Solutions Question 7.

7. 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.

 

Solution:
Class 10 Maths 12.2 NCERT Solutions

Class 10 Maths 12.2 NCERT Solutions Question 8.

8. A spherical glass vessel has a cylindrical neck 8 cm long and 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.

 

Solution:
Class 10 Maths 12.2 NCERT Solutions

Maths in Class 10: Surface Areas and Volumes

In Class 10 Maths 12.2 NCERT Solutions Students will talk about patterns in terms that come after those that come after by adding a certain number to the terms that came before in this chapter. Additionally, they see how to calculate the sum of n successive terms and the nth term. When students tackle real-world situations, they will successfully understand 
Surface Areas and Volumes.

As a result, these NCERT Solutions for Class 10 Maths will aid students in comprehending various question formats and their responses, in addition to providing important shortcuts and diagrammatic explanations. The Class 10 Maths Chapter 12 PDF NCERT Solutions are all provided in easy-to-understand manner. Students who fully understand these solutions will be able to solve challenging situations with ease.

The teachers have carefully selected the Class 10 NCERT Solutions to help students become more adept at solving problems. Students can consult Bhautik study materials for Surface areas and volumes for a clearer understanding.

 
Chapter 10 of NCERT Class 10 Maths’ Unit 4 Geometry includes a circle. Unit 4 geometry in the class 10 second term exam carries a 22-mark weight. Throughout this unit, there will be four multiple-choice questions worth four marks, one mark for each multiple-choice question, six marks for short answer questions with two questions each, and two long questions worth twelve marks total—six marks for each question here class 10 maths 12.2 ncert solutions play an important role.

What is the Advantage of Class 10 Maths Class 10 Maths 12.2 NCERT Solutions Provided by Bhautik Study?

Class 10 Maths 12.2 NCERT Solutions uses a number of important components.
It offers answers to all of the exercises’ problems from the NCERT Maths textbook for Class 10.
Make a practice of asking challenging questions to help you demonstrate your understanding of the subjects.
It includes the most recent CBSE syllabus broken down by terms as well as key categories of questions that will be asked throughout the test.

It is quite useful for practicing essential drawings.

helps you to retain key math techniques and formulas.

NCERT Answers, NCERT We supply all of the examples, notes, textbooks, videos, and animations for all of the classes and disciplines. In order to comprehend significant problem kinds from an examination perspective, students can also obtain additional study materials from the CBSE Board.

class 10 maths 12.2 ncert solutions – 
What are some of the main points in Chapter 10 of the NCERT Solutions for Maths Class 10?
Answers to all of the problems in the NCERT Class 10 Maths textbook are provided in NCERT Solutions for Class 10 Maths Chapter 10 Circles.
They also allow you to practise answering challenging questions and demonstrate your understanding of the subjects.
Which are the main subjects covered in Chapter 10 of the NCERT Solutions for Class 10 Maths?
NCERT Solutions for Class 10 Maths Chapter 10 covers the following main topics: an introduction to circles; tangents; forming the number of tangents from a point on the circle; and the conclusion of the chapter 10 circle here Class 10 Maths 12.2 NCERT Solutions play an important role.

One of the key chapters for the board exam is Surface Areas and Volumes, Chapter 12, Class 10 Maths. This chapter carries between 12 and 13 marks in the board exams. Based on surface areas and volumes, this chapter typically prompts four questions. Three plus three plus three plus four is the mark distribution for the questions; the marks may differ based on the question. Subjects addressed in Chapter 12, Volumes and Surface Areas.

Students who struggle to answer questions from the Class 10 Maths Book Chapter 12 exercise can benefit greatly from the solutions.
-The student can use these solutions as reference material.
-It is an excellent resource for revising Chapter 13 to cover all kinds of exam problems.
-With practice using the solutions, students can receive good grades in the Chapter Surface Areas and Volumes.
-It is entirely based on the revised curriculum for 2024–2025 as outlined in the recommendations provided by the Central Board of Secondary Education (CBSE).


Students who wish to do well in the board exam can access the NCERT Solutions for Class 10 Maths Chapter 12: Surface Areas and Volumes. Let’s talk about the significance of this chapter for both your academic and personal lives now. You will encounter numerous real-world situations where you must configure the principles of real objects’ volumes and surface areas. Footballs, gas cylinders and rectangular boxes are a few examples. They have three-dimensional forms with volume and surface area. We also need to learn the formulas based on the object’s dimensions in order to calculate these quantities. As a result, you can understand the formulas for the surface areas and volumes of 3D forms like spheres and cylinders with the aid of these Class 10 NCERT Solutions here Class 10 Maths 12.2 NCERT Solutions play an important role.