A Large Tank Is Designed with Ends in the Shape $y = \frac { x ^ { 2 } } { 2 }$

question 53

Short Answer

A large tank is designed with ends in the shape of the region between the curves $y = \frac { x ^ { 2 } } { 2 }$ and $y = 15$ , measured in feet. Find the hydrostatic force on one end of the tank if it is filled to a depth of $9 \mathrm { ft }$ with gasoline. (Assume that the density of the gasoline is $42.0 \mathrm { lb } / \mathrm { ft } ^ { 3 }$ .)

---

Definitions:

Pennsylvania

A U.S. state located in the northeastern part of the country, known for its rich history and diverse landscapes.

Conflicts With The Indians

Refers to the numerous wars and skirmishes between European settlers and Native American tribes following European colonization of the Americas.

Cities

Urban areas with significant populations where there is a high concentration of buildings, infrastructure, and economic activities.

British North America

Consists of the British Empire's colonial territories in North America before the formation of the United States and the later establishment of the Dominion of Canada.