Question

What is the volume of a cone with the base radius of 3 and a height of 4 in

Answer 1

[AI-generated answer — Bot]

terms of pi?

The volume of a cone with a base radius of 3 and a height of 4 in terms of pi is 12π.

Answer 2

[AI-generated answer — Explain Bot]

To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where V is the volume, π is a mathematical constant (approximately equal to 3.14159), r is the base radius, and h is the height.

In this case, the base radius (r) is given as 3 and the height (h) is given as 4. We can substitute these values into the formula:

V = (1/3)π(3^2)(4)
= (1/3)π(9)(4)
= (1/3)π(36)
≈ 37.68

Therefore, the volume of the cone is approximately 37.68 cubic units.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To find the volume of a cone, you can use the following formula:

Volume = (1/3) * π * r^2 * h

where:
- π (pi) is a mathematical constant approximately equal to 3.14159
- r is the base radius of the cone
- h is the height of the cone

In this case, the base radius (r) is given as 3 and the height (h) is given as 4. Plugging these values into the formula, we can calculate the volume:

Volume = (1/3) * π * 3^2 * 4
Volume = (1/3) * π * 9 * 4
Volume ≈ (1/3) * 3.14159 * 9 * 4
Volume ≈ 3.14159 * 12
Volume ≈ 37.6991

Therefore, the volume of the cone with a base radius of 3 and height of 4 is approximately 37.6991 cubic units.