Question

The diameter of Jupiter is 142.984 Km. The surface area of Saturn is 59.9% the surface area of Jupiter. What is Saturn's diameter, d, in kilometers? Round to the nearest thousandth.

1.) What is the surface area of Jupiter? (Use surface area of sphere formula).

2.) What is the surface area of Saturn? (Hint: Remember Saturn's surface area is 59.9% of the surface area of Jupiter).

3.) What is the diameter of Saturn? (Hint: Find the radius of Saturn).

Answer 1

Suppose that both planets are spherical. radius of Saturn =142984/2=71,492

Area of Jupiter = 4πr² ==>4π(71,492)² =6.4228 x 10^10

Area of Saturn ==>(6.4228 x 10^10)x(0.599) ==>3,84726 x 10^10

Radius of Saturn = 4πr² =3,84726 x 10^10==> r²=3,0219 x 10^10
and r √(,0219 x 10^10) = 174.000 km & D = 384,000 km