Question

what is the volume of this cone? round your answer to the nearest hundredth. 30 cm 58 cm cubic centimeters

Explanation:

Step1: Identify radius and height

The diameter is 58 cm, so the radius $r=\frac{58}{2}=29$ cm, and the height $h = 30$ cm.

Step2: Use volume formula for cone

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$. Substitute $r = 29$ and $h=30$ into the formula: $V=\frac{1}{3}\times\pi\times29^{2}\times30$.

Step3: Calculate the volume

First, calculate $29^{2}=841$. Then $\frac{1}{3}\times30 = 10$. So $V = 10\times\pi\times841=8410\pi$. Using $\pi\approx3.14159$, $V\approx8410\times3.14159 = 26410.7719$.

Step4: Round the result

Rounding 26410.7719 to the nearest hundredth gives $V\approx26410.77$ $cm^{3}$.

Answer:

26410.77