Question

The diagram represents a large cone of height 6cm and base diameter 18cm. the large cone is made by placing a small cone a of height 2cm and base diameter 6 cm on top of a frustum b. calculate the volume of the frustum b.

Answer 1

To find the volume of the frustum B, subtract the volume of the small cone from that of the large cone using the formula for a cone's volume, V = (1/3)πr²h, with appropriate measurements for radius and height.

Step-by-step explanation:

To calculate the volume of the frustum (B), you need to subtract the volume of the small cone (A) from the volume of the large cone. The formula for the volume of a cone is V = (1/3)πr²h. First, calculate the volume of the large cone using its height (6 cm) and radius (half of the diameter, so 9 cm). Then calculate the volume of the small cone using its height (2 cm) and radius (3 cm).

The volume of the large cone is V = (1/3)π(9 cm)²(6 cm), and the volume of the small cone is V = (1/3)π(3 cm)²(2 cm). Subtract the volume of the small cone from the volume of the large cone to find the volume of the frustum B.