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 answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

i can't read the graph

step-by-step explanation: