Question

what is the volume of this cone? round your answer to the nearest hundredth. 4 cm 4 cm cubic centimeters

Explanation:

Step1: Recall volume formula

The volume formula for a cone is $V = \frac{1}{3}\pi r^{2}h$. Here, the radius $r = 4$ cm and the height $h = 4$ cm.

Step2: Substitute values

Substitute $r = 4$ and $h = 4$ into the formula: $V=\frac{1}{3}\pi\times4^{2}\times4=\frac{1}{3}\pi\times16\times 4=\frac{64\pi}{3}$.

Step3: Calculate and round

$V=\frac{64\pi}{3}\approx\frac{64\times3.14159}{3}\approx66.99$ (rounded to the nearest hundred - th).

Answer:

$66.99$