V = 1/3pi(7)^2(12)

Answer 1

To calculate the volume of a cone using the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height, we need to substitute the given values:

V = (1/3)π(7)^2(12)

First, we can simplify the equation by performing the calculations inside the parentheses:

V = (1/3)π(49)(12)

Next, we can multiply the numbers inside the parentheses:

V = (1/3)(49π)(12)

V = (49/3)π(12)

Now, we can multiply 49/3 with 12:

V = (588/3)π

Finally, since the question doesn't specify that the answer needs to be exact or rounded to a specific decimal place, we can leave the answer in terms of π:

V ≈ (588/3)π cubic units (assuming π is approximately 3.14)

So, the volume of the cone is approximately (588/3)π cubic units.