Question

The radius of the earth is about 4,000 miles. If there were a global superhighway that circles around the entire equator of the earth, approximately how much would it cost for you to buy enough gas to drive around the earth once? Assume that the gas costs $3.20 a gallon and that your car can get 25 miles per gallon.

Answer 1

Cost of gas is around $3217

Step-by-step explanation:

Given:

Radius of earth = 4000 miles

Gas cost = $3.20/gallon

Mileage = 25 miles/gallon

To determine:

Cost of gas to drive around the earth once

Step-by-step explanation:

Distance around the earth = circumference of earth = 2πR

`Distance\  covered = 2*3.142*4000 = 25316\ miles\\\\Gallons\ of\ gas\ required = (25316\ miles*1\ gallon)/(25\ miles) =1005.4\ gallons\\\\Cost = (1005.4\ gallon *3.20\ dollar)/(1\ gallon) = 3217.28\ dollars`

Answer 2

Answer: Cost ≈ $3,217

Step-by-step explanation:

1) Calculate the perimeter (circumference) of the superhighway:

Formula: C = 2πr

r = 4 miles ⇒ C = 2π(4,00miles) ≈ 25132.7 miles

2) Calculate the cost

Formulas:

Cost = number of gallons consumed × cost of a gallon

Number of gallon consumed = galllons per mile × number of miles

Number of gallon = (1 gallon / 25 miles) × 25,132.7 miles = 1,005.3 gallons

Cost = 1,005.3 gallons × $3.20 / gallon ≈ $3,217