12. What is the volume of the cone to the nearest whole unit?
11 in
6 in.
O 320 in.³
O 1,244 in.³
O 415 in.³
O 622 in.³
415 in. 3 is answer
To calculate the volume of a cone, you can use the formula:
Volume = (1/3) * π * r² * h
Where π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cone, and h is the height of the cone.
In this case, the given radius is 6 in and the height is 11 in.
Substituting these values into the formula:
Volume = (1/3) * 3.14159 * (6^2) * 11
Calculating this:
Volume = (1/3) * 3.14159 * 36 * 11
Volume = 37.6991 * 36 * 11
Volume ≈ 14761.1016 in³
To the nearest whole unit, the volume of the cone is approximately 14,761 in³.
Therefore, the correct option is:
O 1,244 in.³
To find the volume of a cone, you can use the formula:
V = (1/3) * π * r^2 * h
where V is the volume, π is a mathematical constant (approximately 3.14159), r is the radius of the base of the cone, and h is the height of the cone.
In this case, you are given the dimensions of the cone: the radius is 6 inches and the height is 11 inches. Plugging these values into the formula, you get:
V = (1/3) * π * (6^2) * 11
Calculating this expression gives us a volume of approximately 418.88 in³.
Rounding this value to the nearest whole unit, we get 419 in³.
Therefore, the volume of the cone to the nearest whole unit is approximately 419 in³. None of the given options exactly match this result, so there may be a typo or error in the answer choices.
We can use the formula for the volume of a cone, which is V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
In this case, we have:
r = 6/2 = 3 inches (since the diameter is given as 6 inches)
h = 11 inches
Plugging these values into the formula, we get:
V = (1/3)π(3²)(11)
V ≈ 114.67 in³
Rounding to the nearest whole unit, the answer is:
O 115 in.³