Toppers Study Toppers Study Toppers StudyDetailed NCERT Solutions for 9 Mathematics 13. Surface Areas and Volumes to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Detailed NCERT Solutions for 9 Mathematics 13. Surface Areas and Volumes to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Preparing for exams becomes easier with Exercise 13.8. Whether you are studying for board exams or mid-term exams, 9 Mathematics Chapter 13. Surface Areas and Volumes solutions provide quick revising points, well-structured answers, and additional practice material to help you score better.
ncert_solutionsEXERCISE 13.8
Assume π = 
, unless stated otherwise.
1. Find the volume of a sphere whose radius is
(i) 7 cm (ii) 0.63 m
Solution:
2. Find the amount of water displaced by a solid spherical ball of diameter
(i) 28 cm (ii) 0.21 m
Solution:
3. The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm3 ?
Solution:
4. The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?
Solution:
Let diameter of earth = x
5. How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?
Solution:
Diameter = 10.5 , radius = 5.25
6. A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.
Solution:
Radius = 1.01 m , radius = 1 m
7. Find the volume of a sphere whose surface area is 154 cm2.
Solution:
Surface area = 154 cm2
8. A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of 498.96. If the cost of white-washing is 2.00 per square metre, find the
(i) inside surface area of the dome, (ii) volume of the air inside the dome.
Solution:
9. Twenty seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S2. Find the
(i) radius r2 of the new sphere, (ii) ratio of S and S2.
Solution:
R = r
10. A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule?
Solution :
Diameter = 3.5 mm , r = 1.75 mm
Exercise 13.8 are created by experts to give step-by-step explanations. Around 60–70% of exam questions are based on NCERT concepts. Our 9 Mathematics Chapter 13. Surface Areas and Volumes solutions help you understand the core concepts and practice effectively.
Revision is the key to exam success. Our notes for 9 Mathematics highlight important formulas, key definitions, and exam-ready points from Chapter 13. Surface Areas and Volumes. These quick revision notes make last-minute preparation easy.
Every NCERT chapter ends with exercises, and solving them is crucial. Our Exercise 13.8 include complete solutions for 9 Mathematics Chapter 13. Surface Areas and Volumes exercises. With step-by-step answers, you gain clarity and confidence to attempt similar exam questions.
To boost your preparation, we also provide additional important questions with answers. These are prepared from previous year board papers, sample papers, and important concepts of Chapter 13. Surface Areas and Volumes. Practicing these ensures you are well-prepared for both board and mid-term exams.
Our Exercise 13.8 are useful for both board exams and mid-term exams. For 9 Mathematics, we provide notes, exercises, and important Q&A so that you can revise smartly and write perfect answers in exams.
In short, Exercise 13.8 for 9 Mathematics Chapter 13. Surface Areas and Volumes are a complete study package. With quick revising points, NCERT exercises, and additional important questions, you can prepare effectively for exams. Make these solutions your study companion and excel in your academic journey.
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