Chapter 4.5, Problem 10E

Reminder Round all answers to two decimal places unless otherwise indicated.

Gross Tonnage The gross tonnage $G$ is a standardized measure of a ship’s capacity. It is calculated in terms of the volume $V$, in cubic meters, of the ship. There are no units associated with gross tonnage. It is calculated using the formula

$G=V\left(0.2+0.02\log V\right)$.

In this exercise, round your answers to the nearest whole number.

a. Find the gross tonnage of a ship with a volume of $13,000\text{cubic}\text{meters}$.

b. Use the crossing-graphs method to find the volume of a ship with a gross tonnage of $3000$.