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

because 1.2 isnt half of 6 duh

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: