What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest hundredth.(1 point) cubic millimeters
The Height is 12mm
The Width is 14mm
that wrong
The bot is goofy
Apologies for the error. Let me recalculate the volume correctly.
The formula to calculate the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.
Given that the width is 14mm, we can find the radius by dividing it by 2:
r = 14mm / 2 = 7mm
Substituting the values into the formula:
V = (1/3)π(7mm)²(12mm)
Calculating this expression, we get:
V ≈ 616.81mm³
Rounded to the nearest hundredth, the volume of the cone is approximately 616.81 cubic millimeters.
The formula to calculate the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.
Given that the width is 14mm, we can find the radius by dividing it by 2:
r = 14mm / 2 = 7mm
Substituting the values into the formula:
V = (1/3)π(7mm)²(12mm)
Calculating this expression, we get:
V ≈ 461.81mm³
Rounded to the nearest hundredth, the volume of the cone is approximately 461.81 cubic millimeters.
To find the volume of a cone, you can use the formula:
Volume = (1/3) * π * r^2 * h
- π is a constant approximately equal to 3.14159
- r is the radius of the base of the cone
- h is the height of the cone
Given that the width is 14mm, the radius (r) can be calculated by dividing the width by 2, since the radius is half of the diameter:
r = 14mm / 2 = 7mm
Plugging the values into the volume formula, we get:
Volume = (1/3) * 3.14159 * (7mm)^2 * 12mm
Simplifying further:
Volume = (1/3) * 3.14159 * 49mm^2 * 12mm
Volume = 6157.912775 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 6157.91 cubic millimeters.