Volume of a cone with radius 3 and height 4 is V = (1/3)πr^2h. What is V?

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Multiple Choice

Volume of a cone with radius 3 and height 4 is V = (1/3)πr^2h. What is V?

One essential idea is that the volume of a cone is one third of the product of its base area and its height. The base area is a circle, so its area is π r^2. Therefore V = (1/3) π r^2 h. With r = 3 and h = 4, you get r^2 = 9. Then V = (1/3) π · 9 · 4 = (1/3) · 36π = 12π. So the volume is 12π cubic units.

One essential idea is that the volume of a cone is one third of the product of its base area and its height. The base area is a circle, so its area is π r^2. Therefore V = (1/3) π r^2 h.

With r = 3 and h = 4, you get r^2 = 9. Then V = (1/3) π · 9 · 4 = (1/3) · 36π = 12π.

So the volume is 12π cubic units.

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