Matt owns an ice cream shop and wants to know the volume of the sugar cones that he has in his shop. Find the approximate volume of the sugar cone if the radius is 4 cm and the height is 12 cm.
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 Pi (approximately 3.14159), r is the radius, and h is the height.
Given that the radius (r) is 4 cm and the height (h) is 12 cm, we can substitute these values into the formula and calculate the volume:
V = (1/3) * 3.14159 * (4 cm)^2 * 12 cm
= (1/3) * 3.14159 * 16 cm^2 * 12 cm
≈ 201.06176 cm^3
Therefore, the approximate volume of the sugar cone is about 201.06 cm^3.
To find the approximate volume of a sugar cone, you can use the formula for the volume of a cone, which is: V = (1/3) × π × r² × h.
In this case, the radius (r) is given as 4 cm and the height (h) is given as 12 cm. We can substitute these values into the formula and calculate the volume.
V = (1/3) × π × (4 cm)² × (12 cm)
V ≈ (1/3) × 3.14 × 16 cm² × 12 cm
V ≈ 2016.64 cm³
Therefore, the approximate volume of the sugar cone is approximately 2016.64 cm³.
volume of cone = pi r^2 h / 3
= pi (16)(12)/3 in cubic centimeters