The Two Radii of the Frustum of a Right Circular $1871.79 \mathrm {~cm} ^ { 2 } / \mathrm { min }$

question 66

Multiple Choice

The two radii of the frustum of a right circular cone are increasing at a rate of 7 centimeters per minute, and the height is increasing at a rate of 11 centimeters per minute (see figure) .
Find the rate at which the surface area is changing when the two radii are 16 centimeters and 26 Centimeters, and the height is 13 centimeters. [Note: The surface area does not include the top andBottom circles.] Round your answer to two decimal places.

• A) \(1871.79 \mathrm {~cm} ^ { 2 } / \mathrm { min }\)
• B) \(2077.89 \mathrm {~cm} ^ { 2 } / \mathrm { min }\)
• C) \(1511.11 \mathrm {~cm} ^ { 2 } / \mathrm { min }\)
• D) \(2185.54 \mathrm {~cm} ^ { 2 } / \mathrm { min }\)
• E) \(1445.22 \mathrm {~cm} ^ { 2 } / \mathrm { min }\)

---

Definitions:

Tariff of Abominations

The nickname given to the Tariff Act of 1828, which imposed high duties on imports and was highly controversial, particularly in the Southern United States, which felt it economically disadvantaged them.

Agricultural Economy

An economy that is largely dependent on agricultural production and the cultivation of crops and livestock.

High Tariffs

Elevated taxes imposed on imported goods, intended to protect domestic industries by making foreign products more expensive.

Trade Deficit

A situation in which a country's imports of goods and services exceed its exports, resulting in a negative balance of trade.