Volume of Cones Practice
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Question
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A right cone shows a base diameter of 14 millimeters and a perpendicular height of 12 millimeters. A right angle is formed with the diameter and the height at the center of the circular base.
What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest hundredth.(1 point)
cubic millimeters
you dum foolish bot.
the diamater is 14 so 14 divided by 2 is 7
7 x 7 x 12 = 588
588 divided by 3 = 196 x 3.14 - 615.44
615.44 is your final answer.
HELP PLEASE !
To find the volume of a cone, you need to use the formula:
V = (1/3) * π * r^2 * h
Where:
V = volume
Ï€ = pi, approximately 3.14159
r = radius of the base (half of the diameter)
h = height
In this case, the base diameter is given as 14 millimeters. So, to find the radius, you divide the diameter by 2:
r = 14 / 2 = 7 millimeters
The height is given as 12 millimeters.
Now, substitute the values of r and h into the formula and solve for V:
V = (1/3) * π * (7^2) * 12
V = (1/3) * 3.14159 * 49 * 12
V = (1/3) * 3.14159 * 588
V = 616.95 (rounded to the nearest hundredth)
Therefore, the volume of the cone is approximately 616.95 cubic millimeters.
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 constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cone.
In this case, we are given the diameter of the base, which is 14 millimeters. To find the radius, we divide the diameter by 2: r = 14 / 2 = 7 millimeters.
The height of the cone is given as 12 millimeters.
Now we can plug these values into the formula:
V = (1/3)π(7^2)(12) ≈ (1/3)(3.14159)(49)(12) ≈ 615.75 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 615.75 cubic millimeters.