Question

find the volume of a cone with a height of 9 m and a base diameter of 8 m. use the value 3.14 for π, and do not do any rounding. be sure to include the correct unit in your answer.

Explanation:

Step1: Find base radius

Radius $r = \frac{\text{diameter}}{2} = \frac{8}{2} = 4$ cm

Step2: Calculate base area

Base area $A = \pi r^2 = 3.14 \times 4^2 = 3.14 \times 16 = 50.24$ cm²

Step3: Compute cone volume

Volume $V = \frac{1}{3}Ah = \frac{1}{3} \times 50.24 \times 9 = 50.24 \times 3 = 150.72$ cm³

Answer:

150.72 cm³