The radius of a cone is increasing at a constant rate of 8 feet per second. The volume remains a constant 56 cubic feet. At the instant when the radius of the cone is 3 feet, what is the rate of change of the height? The volume of a cone can be found with the equation V = farh. Round your answer to three decimal places.

Explanation:

The volume of a cone, V = 1/3πr^2h

Where r is the radius, and h is the height of the cone.

Given:

Volume is constant at 56 cubic feet.

Radius of cone increases at a constant rate of 8 feet per second.

The radius of the cone is 3 feet.

When radius is 3 feet

Where h is in feets.

Since the volume is constant so  

The rate of change of radius is  

The minus indicates that the rate of change of height is decreasing.

claude wants to buy a car and there are a few factors that will affect the decision he makes in choosing what car he should buy. the first factor that can affect his decision regarding what car to buy can be the social and the cultural influence of the society he is living in. for example, there might be a certain car that might have a better value in the eyes of the society or in other words a better social norm regarding that car.

another factor can be personal habits. claude might need a spacious car because he might have kids or might utilize the back seat for other purposes hence a sports car (2 seated) won’t be appropriate.