What is the height of a cone with the volume of 90 and an base area of 18

15 units

Step-by-step explanation:

The formula for the volume of a cone is:

V =

Where V is the volume, r is the radius, and h is the height

Substitute:

90 =

Since the base of a cone is a circle, the base area is . This means that 18 can be substituted in the formula for .

Solve:

90 =

Multiply by 3 on both sides:

90 =

3(90) = ()3

270 = 18h

Divide by 18 on both sides:

270 = 18h

/18     /18

15 ≈ h

Therefore, the height of the cone is 15 units.

2

step-by-step explanation:

180

step-by-step explanation: