A cone has a volume of 135 pi units^3 What is the height of the cone if the diameter of the cone is 18 units long?

Considering the volume of a cone, the height if the cone is 5 units.

A cone is a three-dimensional figure with a circular base, where a curved surface connects the base and the vertex.

The cone is a figure that is generated by rotating a right triangle around one of its legs.

Volume is the place that a body occupies in space.  

In the case of the cone, the volume is calculated knowing the height (h) and the radius (r). Its volume is defined as one third of the area of the base B times the height h. This is:

V= ×B ×h

Being B=π× r²

V= ×π× r² ×h

In this case, you know:

Replacing:

135π units³= ×π× (9 units)² ×h

Solving:

135π units³= ×π× 81 units² ×h

135π units³÷ (×π× 81 units²)= h

5 units= h

Finally, the height if the cone is 5 units.

Learn more:

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !