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RD Sharma - Mathematics

21. Surface Area and Volume of a Sphere

1. Number System
2. Exponents of Real Numbers
3. Rationalisation
4. Algebraic Identities
5. Factorization of Algebraic Expressions
6. Factorization of Polynomials
7. Introduction to Euclid's Geometry
8. Lines and Angles
9. Triangle and Its Angles
10. Congruent Triangles
11. Co-ordinate Geometry
13. Linear Equations in Two Variables
12. Heron's Formula
14. Quadrilaterals
15. Areas of Parallelograms
16. Circles
17. Constructions
18. Surface Area and Volume of a Cuboid and a Cude
19. Surface Area and Volume of a Right Circular Cylinder
20. Surface Area and Volume of a Right Circular Cone
21. Surface Area and Volume of a Sphere
22. Tabular Representation of Statistical Data
23. Graphical Representation of Statistical Data
24. Measures of Central Tendency
25. Probability

Exercise 21.1

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Exercise 21.2

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CCE - Formative Assessment

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Q. 113.9( 8 Votes )

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Class 9th RD Sharma - Mathematics 21. Surface Area and Volume of a Sphere

Answer :

Surface area of a shephe = 4πr²

Ratio of surface areas of spheres = square of ratio of their radius

Given, diameter of the moon is approximately one fourth of the diameter of the earth

∴ r_m = 1/4 × r_e

⇒ r_m : r_e = 1 : 4

Ratio of their surface area = 1 : 16

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