Question

the diameter of the moon is approximately one fourth of the diameter of the earth find the ratio of their surface area​

Answer 1

Answer:

r = moon radius

R = earth radius

Step-by-step explanation:

A.T.Q,

2r = 1/4(2R)

r = R/4

RATIO - 4/3πR^3/4/3πr^3

R^3/r^3

R^3/R^3/64

RATIO = 64:1

EARTH: MOON

Answer 2

Answer:

d of moon is 1/4 = d of earth

r of moon 1/4 = r of earth

S.A. of Sphere= πr^2

Ratio of S.A. = S.A. of earth

S.A. of moon

= π×r^2

π×r^2

= r^2

(1/4)^2

= 1

1/8

= 8/1

So, Earth's surface area is 8 times the surface area of moon.