Question

Find the volume V of the described solid S, a right circular cone with height 7h and base radius 2r?

Answer 1

The volume of a right circular cone with a base radius of 2r and height 7h is given by the formula V = (28/3)πr²h.

Step-by-step explanation:

The volume of a right circular cone can be calculated using the formula V = (1/3)πr²h, where r is the base radius and h is the height of the cone.

In this case, the cone has a height of 7h and a base radius of 2r. So, we substitute these values into the formula to find the volume:

1. Substitute 7h for h and 2r for r in the volume formula:
2. Simplify the equation:
3. Further simplify and rearrange the equation: