A cylindrical tank with radius 3 m3 m is being filled with water at a rate of 4 m3/min4 m3/min . How fast is the height of the water increasing?

Question

A cylindrical tank with radius 3 m3 m is being filled with water at a rate of 4 m3/min4 m3/min . How fast is the height of the water increasing?
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Solution 1

The problem involves the concept of related rates in calculus. Here's how you can solve it:

Step 1: Identify what you know and what you need to find out. We know the rate at which the volume of water in the tank is increasing (dV/dt = 4 m³/min). We need to find out the rate at which the height of Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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