Solve the Problem $\mathrm { y } = 5 \mathrm { x } ^ { 2 } , 0 \leq \mathrm { x } \leq 2$

question 183

Multiple Choice

Solve the problem.
-A tank is designed by revolving the parabola $\mathrm { y } = 5 \mathrm { x } ^ { 2 } , 0 \leq \mathrm { x } \leq 2$ , about the $\mathrm { y }$ -axis. The tank, with dimensions in meters, is filled with water weighing $9800 \mathrm {~N} / \mathrm { m } ^ { 3 }$ . How much work will it take to empty the tank by pumping the water to the tank's top? Give your answer to the nearest $\mathrm { J }$ .

• A) 256,563 J
• B) 8,210,029 J
• C) 1,642,006 J
• D) 24,630,086 J

---

Definitions:

Training Programs

Structured educational courses designed to enhance the knowledge, skills, and competencies of employees or individuals in specific areas or professions.

Performance Contracts

Agreements that outline the expected outcomes or results from individuals or entities, often tied to rewards or penalties based on achievement.

Readiness To Learn

Refers to the degree to which an individual is prepared or inclined to acquire new knowledge, skills, or behaviors.

Perceptions

The process of interpreting, selecting, and organizing sensory information to understand the environment and interactions.