Question

The diameter of the moon is approximately one fourth of the diameter of the earth.Find the ratio of their surfaces​

Answer 1

Step-by-step explanation:

Diameter of earth=d1

Diameter of moon ,d2=1/4*d1

radius of earth =d1/2

radius of moon =1/4*d1/2

area =πr^2

area of earth ,a1=π*(d1/2)^2

area of moon,a2=π*(1/8*d1)^2

divide both areas

a1/a2=π*d1^2/4/π*d1^2/64

a1/a2=16/1

a1:a2=16:1 m^2

Answer 2

SOLUTION :-

➠ let the radius of the earth = π

➠ And radius of the moon = $\frac{1}{4} r$

➠ Volume of Earth =

$\frac{4}{3} \pi \: ( \frac{1}{4} ) {}^{3}$

➠ $\frac{4\pi}{3} (r) {}^{3}$

$\frac{1}{64} \: r {}^{3}$

$= \frac{1}{64}$

Hence, prove