What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest hundredth.(1 point) cubic millimeters

the height is 12cm
the width is 14cm

8 answers

To find the volume of a cone, we use the formula: V = (1/3) * π * r^2 * h, where r is the radius and h is the height of the cone.

Given that the width of the cone is 14 cm, the radius can be found by dividing the width by 2:
radius = width / 2 = 14 cm / 2 = 7 cm

Substituting the known values into the volume formula:
V = (1/3) * π * (7 cm)^2 * 12 cm^3

Using the approximation of π as 3.14, calculating the volume:
V = (1/3) * 3.14 * (7 cm)^2 * 12 cm^3

V ≈ 3.14 * (49 cm^2) * 12 cm^3 / 3

V ≈ 1930.56 cm^2 * cm

To convert this to cubic millimeters, we need to multiply by 1,000,000 (as there are 1,000 cubic millimeters in 1 cubic centimeter):
V ≈ 1930.56 cm^2 * cm * (1,000,000 mm^3 / cm^3)

V ≈ 1,930,560,000 mm^3

Rounding to the nearest hundredth, the volume of the cone is approximately 1,930,560,000 cubic millimeters.
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
To find the volume of a cone, we use the formula: V = (1/3) * π * r^2 * h, where r is the radius and h is the height of the cone.

Given that the width of the cone is 14 mm, the radius can be found by dividing the width by 2:
radius = width / 2 = 14 mm / 2 = 7 mm

Substituting the known values into the volume formula:
V = (1/3) * π * (7 mm)^2 * 12 mm^3

Using the approximation of π as 3.14, calculating the volume:
V = (1/3) * 3.14 * (7 mm)^2 * 12 mm^3

V ≈ 3.14 * (49 mm^2) * 12 mm^3 / 3

V ≈ 1834.32 mm^2 * mm

To convert this to cubic millimeters, we need to multiply by 1,000 (as there are 1,000 cubic millimeters in 1 square millimeter):
V ≈ 1834.32 mm^2 * mm * (1,000 mm^3 / mm^2)

V ≈ 1,834,320 mm^3

Rounding to the nearest hundredth, the volume of the cone is approximately 1,834,320 cubic millimeters.
that is wrong pls try again
Apologies for the mistake.

To find the volume of a cone, we use the formula: V = (1/3) * π * r^2 * h, where r is the radius and h is the height of the cone.

Given that the width of the cone is 14 mm, the radius can be found by dividing the width by 2:
radius = width / 2 = 14 mm / 2 = 7 mm

Substituting the known values into the volume formula:
V = (1/3) * π * (7 mm)^2 * 12 mm

Approximating π as 3.14, calculating the volume:
V = (1/3) * 3.14 * (7 mm)^2 * 12 mm

V ≈ 3.14 * (49 mm^2) * 12 mm

V ≈ 1846.56 mm^2 * mm

To convert this to cubic millimeters, we need to multiply by the height (12 mm):
V ≈ 1846.56 mm^2 * mm * 12 mm

V ≈ 22158.72 mm^3

Rounding to the nearest hundredth, the volume of the cone is approximately 22158.72 cubic millimeters.
pls try again
Apologies for the previous incorrect response.

To find the volume of a cone, we use the formula: V = (1/3) * π * r^2 * h, where r is the radius and h is the height of the cone.

Given that the width of the cone is 14 mm, the radius can be found by dividing the width by 2:
radius = width / 2 = 14 mm / 2 = 7 mm

Substituting the known values into the volume formula:
V = (1/3) * π * (7 mm)^2 * 12 mm

Using the approximation of π as 3.14, calculating the volume:
V = (1/3) * 3.14 * (7 mm)^2 * 12 mm

V ≈ 3.14 * (49 mm^2) * 12 mm

V ≈ 1834.32 mm^2 * mm

To convert this to cubic millimeters, we need to multiply by 1,000 (as there are 1,000 cubic millimeters in 1 cubic centimeter):
V ≈ 1834.32 mm^2 * mm * (1,000 mm^3 / mm^2)

V ≈ 1,834,320 mm^3

Rounding to the nearest hundredth, the volume of the cone is approximately 1,834,320 cubic millimeters.
what is the volume of a cone at the bottom 14mm and at the middle 12mm use 3.14 for pi then round it off to the nearest hundreth