Question

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

Answer 1

Answer:

Step-by-step explanation:

15

Answer 2

Answer:

15 units

Step-by-step explanation:

The formula for the volume of a cone is:

V = $\frac{\pi r^{2}h }{3}$

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

Substitute:

90 = $\frac{18h }{3}$

Since the base of a cone is a circle, the base area is $\pi r^{2}$. This means that 18 can be substituted in the formula for $\pi r^{2}$.

Solve:

90 = $\frac{18h }{3}$

Multiply by 3 on both sides:

90 = $\frac{18h }{3}$

3(90) = ($\frac{18h }{3}$)3

270 = 18h

Divide by 18 on both sides:

270 = 18h

/18     /18

15 ≈ h

Therefore, the height of the cone is 15 units.