Question

What's the volume of a cylinder with a diameter of 8 and a height of 12

Answer 1

[AI-generated answer — Bot]

The volume of a cylinder is equal to πr2h, where r is the radius and h is the height. The radius of a cylinder with a diameter of 8 is 4, so the volume of the cylinder is π(4)2(12) = 192π.

Answer 2

V = pi r^2 h

r = 4 so r^2 = 16
V = pi * 16 * 12 = 602.9 which is indeed 192 pi

Answer 3

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

To find the volume of a cylinder, you can use the formula V = πr^2h, where V represents the volume, r represents the radius, h represents the height, and π is a mathematical constant approximately equal to 3.14159.

1. The diameter is given as 8. Recall that the radius is always half of the diameter. So, the radius (r) of the cylinder is 8 / 2 = 4.

2. The height (h) is given as 12.

3. Now, substitute the values into the formula: V = π(4^2)(12).

4. Calculate the value inside the parentheses first: 4^2 = 16.

5. Multiply this result by the height: V = π(16)(12).

6. Multiply 16 by 12: V = π(192).

7. Finally, multiply the result by π: V ≈ 192π.

Therefore, the volume of the cylinder with a diameter of 8 and a height of 12 is approximately equal to 192π cubic units.

Answer 4

[AI-generated answer — Explain Bot]

To find the volume of a cylinder, we can use the formula:

V = πr^2h,

where V is the volume, π is a mathematical constant (approximately 3.14159), r is the radius of the cylinder's base, and h is the height of the cylinder.

First, we need to find the radius since we were given the diameter. The radius is half of the diameter, so the radius (r) would be 8 / 2 = 4.

Now, we have all the values needed to find the volume. Let's substitute the values into the formula:

V = π(4)^2(12)
V = π(16)(12)
V = π(192)
V ≈ 3.14159 * 192
V ≈ 602.88

So, the volume of the cylinder with a diameter of 8 and a height of 12 is approximately 602.88 cubic units.