Math, asked by vishypange123, 1 year ago

the diameter of moon is about 1/4 that of earth.Compare their volumes and curved surface areas.
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Answers

Answered by Revolution
2
radius of earth=r
volume=4/3πr²*r
=4/3*22/7*r²*r=4.13 r ^{3}
radius  of moon=[tex] \frac{4}{3} * \pi * (\frac{r}{2} ) ^{3} \\ \\ 4.19* \frac{ r^{3}}{8} [/tex]
ratio(moon:earth)=1:8

surface area(earth)=[tex]2 \pi r^{2} =44/7* r^{2} [/tex]\\
surface area(moon)=[tex]2*22/7*( \frac{r}{2})^{2} \\ \\ \frac{44}{7} * \frac{ r^{4} }{4} [/tex]
ratio(moon:earth)=1:4
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