Question

what is the volume of this cone?
round your answer to the nearest hundredth.
16 ft
7 ft
cubic feet
submit

Explanation:

Step1: Recall cone volume formula

The volume \( V \) of a cone is \( V = \frac{1}{3}\pi r^2 h \), where \( r = 7 \, \text{ft} \) (radius) and \( h = 16 \, \text{ft} \) (height).

Step2: Calculate base area

Base area \( = \pi r^2 = \pi (7)^2 = 49\pi \)

Step3: Compute volume

\( V = \frac{1}{3} \times 49\pi \times 16 = \frac{784\pi}{3} \approx \frac{784 \times 3.1416}{3} \approx 821.02 \)

Answer:

821.02