RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 21. Surface Area and Volume of a Sphere

Subject: Mathematics - Class 9th

Q. No. 11 of Exercise 21.1

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11

The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.

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


rm = 1/4 × re


rm : re = 1 : 4


Ratio of their surface area = 1 : 16


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