Volume of a Cone Class Practice

Volume = (1/3) * π * r² * h, where r is the radius and h is the height.

The volume increases by a factor of 4, since volume is proportional to the square of the radius.

'h' represents the height of the cone.

Volume = (1/3) * π * (3)² * (4) = 12π ≈ 37.70 cubic inches.

The radius is half of the diameter.

Area = π * r², where r is the radius of the base.

Volume = (1/3) * π * (5)² * (10) = 83.33 cm³.

π is a constant that represents the ratio of the circumference of a circle to its diameter, essential for calculations involving circles.

Using the formula, r = √((3 * Volume) / (π * h)) = √((3 * 150) / (π * 6)) ≈ 4.24 cm.

Volume = (1/3) * π * (2)² * (3) = 4π ≈ 12.57 cubic inches.