Question

what is the volume of this cone? round your answer to the nearest hundredth. 5.6 ft 7 ft cubic feet

Explanation:

Step1: Identify radius and height

Radius $r = 7$ ft, height $h = 5.6$ ft

Step2: Apply cone volume formula

Volume $V = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (7)^2 (5.6)$

Step3: Calculate and round

$V = \frac{1}{3}\pi \times 49 \times 5.6 \approx \frac{1}{3}\pi \times 274.4 \approx 287.49$

Answer:

287.49 cubic feet