A water tank is constructed in the shape of a sphere seated atop a circular cylinder.If water is being pumped into the tank at a constant rate, let $h(t)$ be the height of the water as a function of time.Which of the following is true at the point where $h(t)=$ b?
A)The second derivative doesn't exist
B)There is an inflection point
C)The slope is infinite
D)None of the above

Question

A water tank is constructed in the shape of a sphere seated atop a circular cylinder.If water is being pumped into the tank at a constant rate, let $h(t)$ be the height of the water as a function of time.Which of the following is true at the point where $h(t)=$ b? 
A)The second derivative doesn't exist 
B)There is an inflection point 
C)The slope is infinite 
D)None of the above

Quizplus · Accepted Answer

The Answer of A water tank is constructed in the shape of a sphere seated atop a circular cylinder.If water is being pumped into the tank at a constant rate, let $h(t)$ be the height of the water as a function of time.Which of the following is true at the point where $h(t)=$ b? 
A)The second derivative doesn't exist 
B)There is an inflection point 
C)The slope is infinite 
D)None of the above

A Water Tank Is Constructed in the Shape of a Sphere