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

Answer:

sun is bigger than earth is  13.9 cm

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 = $\frac{1}{10*10^9}$

so here

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

so for earth

scaled diameter of earth = 2 × 6500   × $\frac{1}{10*10^9}$

scaled diameter of earth = 1.3 × $10^{-6}$

and

scaled diameter of sun = 2 × 700,000  × $\frac{1}{10*10^9}$

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