Question

what is the volume of this cone? round your answer to the nearest hundredth. 1 ft 1 ft cubic feet

Explanation:

Step1: Recall volume formula

The volume formula for a cone is $V = \frac{1}{3}\pi r^{2}h$. Here, the radius $r = 1$ ft and the height $h=1$ ft.

Step2: Substitute values

Substitute $r = 1$ and $h = 1$ into the formula: $V=\frac{1}{3}\pi(1)^{2}(1)=\frac{1}{3}\pi$.

Step3: Calculate and round

Calculate $\frac{1}{3}\pi\approx\frac{1}{3}\times3.14159 = 1.047197$. Rounding to the nearest hundred - th gives $V\approx1.05$ cubic feet.

Answer:

$1.05$