Answer:
Step-by-step explanation:
To write this equation with h isolated, we cancel everything else on the right hand side of the equals sign. This means we cancel π and r².
Since both of these are attached to h by multiplication, we divide by both to cancel. We can divide by both at the same time:
Answer:
Rate of change of the area of the rectangle at that instant = 7 cm²/hr.
Step-by-step explanation:
Area of rectangle = Height x Width
A = hw
The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a rate of 4 centimeters per hour.
Differentiating area with respect to time,
We need to find rate of change of area when the height is 5 centimeters and the width is 9 centimeters.
Rate of change of the area of the rectangle at that instant = 7 cm²/hr.