Question

what is the volume of this cone? use π ≈ 3.14 and round your answer to the nearest hundredth. 65 in 106 in cubic inches submit

Explanation:

Step1: Find the radius of the cone

The diameter of the cone is 106 in, so the radius \( r=\frac{106}{2}=53 \) in.

Step2: Recall the volume formula for a cone

The volume \( V \) of a cone is given by \( V = \frac{1}{3}\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height. Here, \( r = 53 \) in and \( h = 65 \) in, and \( \pi\approx3.14 \).

Step3: Substitute the values into the formula

\[

$$\begin{align*} V&=\frac{1}{3}\times3.14\times53^{2}\times65\\ &=\frac{1}{3}\times3.14\times2809\times65\\ &=\frac{1}{3}\times3.14\times182585\\ &=\frac{1}{3}\times573316.9\\ &\approx191105.63 \end{align*}$$

\]

Answer:

191105.63