Question

assuming both the planets namely the earth and the saturn to be spheres find the ratio of their surface areas and volume if the diameter of earth one seventh times of the saturn.​

Answer 1

Answer:

Volume of Earth : Volume of Saturn  :: 1:343

Surface Area of Earth : Surface Area of Saturn :: 1 : 49

Step-by-step explanation:

Let say Diameter of Saturn =  14D

then Radius of Saturn = 7D

Diameter of Earth = (1/7) * 14D = 2D

Radius Of Earth = D

Volume of Saturn = (4/3) π (7D)³ = 343 (4/3) π (D)³

Volume of Earth  = (4/3) π (D)³

Volume of Earth / Volume of Saturn  = (4/3) π (D)³ / (343 (4/3) π (D)³)

Volume of Earth / Volume of Saturn = 1/343

=>

Volume of Earth : Volume of Saturn  :: 1:343

Surface Area of Saturn = 4 π (7D)² = 49 * 4 π (D)²

Surface Area of Earth  = 4 π (D)²

Surface Area of Earth : Surface Area of Saturn :: 1 : 49