A Tank Has the Shape of an Inverted Right Circular $4 \mathrm {~m}$

question 59

Short Answer

A tank has the shape of an inverted right circular cone with a base radius of $4 \mathrm {~m}$ and a height of $9 \mathrm {~m}$ . If the tank is filled to a height of $1 \mathrm {~m}$ , find the work required (to the nearest joule) to empty the tank by pumping the water over the top of the tank. (The mass of water is $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$ and the force of gravity is $9.8 \mathrm {~m} / \mathrm { sec } ^ { 2 }$ .)

---

Definitions:

Equity Method

A method where an investment is initially recorded at cost and subsequently adjusted for the investor's proportionate share in the net assets of the investee, recognizing income or loss.

Intercompany Sale

Transactions that occur between two divisions or subsidiaries within the same parent company, often for the purpose of transferring goods or services.

Pre-tax Gain

Income generated before any taxes have been applied.

Investment Account

An account held at a financial institution that is used for holding and trading investments such as stocks, bonds, and mutual funds.