Advertisement Remove all ads

The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

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

Advertisement Remove all ads

Solution

Let the diameter of earth be d. Therefore, the diameter of moon will be d/4.

Radius of earth = d/2

`"Radius of moon "= 1/2xxd/4 = d/8`

`"Surface area of moon "= 4pi(d/8)^2`

`"Surface area of earth "= 4pi(d/2)^2`

`"Required ratio "=(4pi(d/8)^2)/(4pi(d/2)^2)=4/64=1/16`

Therefore, the ratio between their surface areas will be 1:16.

Concept: Surface Area of a Sphere
  Is there an error in this question or solution?

APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.4 | Q 7 | Page 225

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×