Answer:
a. An equilateral triangle main characteristic is that all the sides lenght are the same (s). To find the height (h), we could divide the triangle (as seen in the picture) and apply Pytagorean theorem.
Clearing the expression, we obtain:
b. Knowing the rate at which the volume is changing 4 , we can find the relation between the change in the volume and the height.
As we want to express the volume in terms of the height, we have to find the area in terms of height
Base=s=
Therefore,
Therefore the change in the volume with the height, will be the derivate of this expression
Knowing dV/dt=4 cubic feet per second, and h=1/2 foot, we can know dh/dt
Step-by-step explanation:
