Physics question on radius of planets

Physics
Tutor: None Selected Time limit: 1 Day

The mean radius of a planet is 6.91 × 10^6 m, and that of its moon is1.42×10^8 cm.

From this data calculate the ratio of the planet’s surface area to that of its moon. 

Aug 18th, 2015

Thank you for the opportunity to help you with your question!

The S.A of a sphere is 4piR^2

Hence planet's s.a is 4*22/7*6.91*10^6m*6.91*10^6m= 6.0026*10^14msquare


Moon's= 4*1.42*10^6*1.14*10^6*22/7=2.5349*10^13msquare

Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 18th, 2015

Hi, I am sorry the site had a problem, I had to submit the incomplete answer first. To find the ratio, we now divide the moon's surface area over the earth's surface area. 

Hence:6.0026*10*14/2.5349*10^13=23.693.

Hence the ratio of the earth's S.A to the moon's is 1:23.69

Aug 18th, 2015

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