Question

how big is the sun on a 1 to 10 billion scale? How big is the earth in the same scale? Covert answers to cm. Assume Sun’s radius is 700,000 km and Earth’s radius is 6500 km.

Answer 1

sun is bigger than earth is 13.9 cm

Step-by-step explanation:

given data

radius of sun = 700,000 km

radius of earth = 6500 km

to find out

how big is the sun

solution

we know here

scale 1 to 10 billion is

scale =
`(1)/(10*10^9)`

so here

we know that scaled diameter = actual diameter × scale .................1

so for earth

scaled diameter of earth = 2 × 6500 ×
`(1)/(10*10^9)`

scaled diameter of earth = 1.3 ×
`10^(-6)`

and

scaled diameter of sun = 2 × 700,000 ×
`(1)/(10*10^9)`

scaled diameter of sun = 1.4 ×
`10^(-4)`

so

sun is bigger than earth is 1.4 ×
`10^(-4)` - 1.3 ×
`10^(-6)`

sun is bigger than earth is 0.000139 = 13.9 cm