Question

What is the height for this problem?

Answer 1

The formula for the volume of a cone is V=(1/3)πr^2h. Plugging in what you know, you get (1/18)π=(1/3)π(1/3)^2(h). The radius is half the diameter 2/3 so it is 1/3. Simplifying, you get (1/18)π=(1/3)π(1/9)(h) which is (1/18)π=(1/27)π(h). Dividing both sides by (1/27)π, you get h=1.5ft.

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Answer 2

Volume of a cone=(1/3)πr²h
Data:
Diameter=(2/3) ft
radius=diameter/2=(2/3) ft / 2=(2/6) ft=1/3 ft.
Volume=(1/18)π ft³

(1/18)π ft³=(1/3)π((1/3)ft)²h
(1/18)π ft³=(1/27) ft² πh
h=((1/18)π ft³) / (π/27 ft²)
h=1.5 ft

h=1.5 ft