Final answer:
The volume of the cone is approximately 2.4 m³, calculated by first determining the radius using the circumference and then plugging it into the volume formula for a cone.
Step-by-step explanation:
To calculate the volume of a right circular cone with a height of 9 m and a base with a circumference of 3.3 m, we use the formula for the volume of a cone, which is V = (1/3)πr²h, where r is the radius and h is the height. To find the radius, we use the circumference formula C = 2πr: 3.3 m = 2πr, which gives us a radius (r) of 0.525 m after solving for r. Plugging this radius and the height into the volume formula gives us:
V = (1/3)π(0.525 m)²(9 m) ≈ (1/3)π(0.275625 m²)(9 m) ≈ 2.441 ≈ 2.4 m³ after rounding to two significant figures.