The cylinder has a volume of 30 cubic units. the cone and cylinder have the same height and the same base. what is the volume of the cone?

The volume of the cone is 10 units^3

Step-by-step explanation:

step 1

Find the equation of the volume of the cylinder

we know that

The volume of a cylinder is equal to

Vcylinder=pi r^{2} h

In this problem

Vcylinder=30 units^3

so

30=pi r^{2} h> equation A

step 2

Find the volume of the cone

we know that

The volume of the cone is equal to

Vcone=(1/3)pi r^{2} h > equation B

substitute equation A in equation B

Vcone=(1/3)(Vcylinder)

Vcone=(1/3)(30)

Vcone=10 units^3

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

(-1,-0.5)

step-by-step explanation: