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Surface Area and Volumes EXERCISE 11.4 Solutions
- Q1(i): Find the volume of a sphere whose radius is (i) $7$ cm
- Q1(ii): Find the volume of a sphere whose radius is (ii) $0.63$ m
- Q2(i): Find the amount of water displaced by a solid spherical ball of diameter (i) $28$ cm
- Q2(ii): Find the amount of water displaced by a solid spherical ball of diameter (ii) $0.21$ m
- Q3: 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 cm$^3$?
- Q4: 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?
- Q5: How many litres of milk can a hemispherical bowl of diameter $10.5$ cm hold?
- Q6: 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.
- Q7: Find the volume of a sphere whose surface area is $154$ cm$^2$.
- Q8(i): A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of ₹ $4989.60$. If the cost of white-washing is ₹ $20$ per square metre, find the (i) inside surface area of the dome,
- Q8(ii): A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of ₹ $4989.60$. If the cost of white-washing is ₹ $20$ per square metre, find the (ii) volume of the air inside the dome.
- Q9(i): Twenty seven solid iron spheres, each of radius $r$ and surface area $S$ are melted to form a sphere with surface area $S'$. Find the (i) radius $r'$ of the new sphere,
- Q9(ii): Twenty seven solid iron spheres, each of radius $r$ and surface area $S$ are melted to form a sphere with surface area $S'$. Find the (ii) ratio of $S$ and $S'$.
- Q10: A capsule of medicine is in the shape of a sphere of diameter $3.5$ mm. How much medicine (in mm$^3$) is needed to fill this capsule?
Other Exercises for CBSE - Class 9 Mathematics Surface Area and Volumes
Chapters in CBSE - Class 9 Mathematics
Top Tutors who teach Surface Area and Volumes
I have taught Class 9 Mathematics with a strong focus on helping students build a clear foundation for higher classes and competitive exams. Since Class 9 introduces many core concepts that continue into Class 10 and Class 11, my teaching approach emphasizes understanding the basics deeply and practicing regularly to gain confidence in problem-solving. While teaching Class 9, I cover all major chapters such as Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Euclid’s Geometry, Lines & Angles, Triangles, Quadrilaterals, Areas of Parallelograms and Triangles, Circles, Surface Area & Volume, Statistics, and Probability. I break down each topic into simple explanations, use diagrams and real-life examples, and gradually increase question difficulty so that students learn step-by-step without feeling overwhelmed. My classroom routine includes concept lectures, guided practice, worksheet solving, and doubt-clearing sessions. I also conduct regular class tests, revision exercises, and previous-year pattern questions to prepare students for school exams and to build confidence for Class 10 board readiness. Students receive formula notes, practice sets, and writing tips that help them attempt questions accurately and manage time effectively in exams. Along with school teaching, my experience with reputed coaching platforms like Byju’s and Allen has strengthened my ability to explain concepts in different ways to match different learning styles—whether a student needs support with basics or is aiming for advanced-level problem solving. Overall, my goal while teaching Class 9 Mathematics is to strengthen conceptual understanding, improve problem-solving skills, and develop a positive attitude towards Mathematics, so students are fully prepared for Class 10 and future academic challenges.
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