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(III) The diameter of the Moon is 3480 $\mathrm{km}$ . (a) What is the surface area of the Moon? (b) How many times larger is the surface area of the Earth?

A) $3.80 \times 10^{13} m^{2}$B) 13.4

Physics 101 Mechanics

Chapter 1

Introduction, Measurement, Estimating

Physics Basics

Harry C.

May 6, 2021

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(III) The diameter of the …

01:57

The diameter of the Moon i…

03:56

01:48

The radius of Earth is abo…

00:52

The surface area of a sphe…

01:53

The distance of the moon f…

01:05

As viewed from the surface…

01:09

The mean radius of the Ear…

so here the surface area of any sphere would be equal to four pi r squared. This is gonna equal four pi times the diameter divided by two quantity squared Given that the radius is equal to the diameter of a lie too. And this will equal Pai d squared. So for party, when they want the surface area of the moon, we can say that this is going to be equal to pi times the diameter of the moon 3.48 times 10 to the sixth meters Quantity squared Ah, this is equaling 3.80 times 10 to the 13th meters squared and then for part B, they want the ratio between the Earth and the moon's weaken say surface area of the earth divided by surface area of the moon This will equal pie diameter of the earth squared, divided by pi diameter of the moon Squared the pies of course cancel out and we get that this is equaling the radius of the earth divided by the radius of the moon Quantity squared and so we can substitute 6.38 times 10 to the sixth meters, the radius of the earth divided by the radius of the moon being one point 74 times 10 to the sixth meters. This is going to be squared and this is equaling 13.4. So approximate so. Basically, the surface of the surface area of the earth is 13.4 times greater than the surface area of the moon. That is the end of the solution. Thank you for watching.

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