Question

what is the volume of this cone? use π ≈ 3.14 and round your answer to the nearest hundredth. 60 in 62 in cubic inches submit

Explanation:

Step1: Recall the formula for the volume of a cone

The volume \( V \) of a cone is given by the formula \( V=\frac{1}{3}\pi r^{2}h \), where \( r \) is the radius of the base and \( h \) is the height of the cone.

Step2: Identify the values of \( r \) and \( h \)

From the diagram, the radius \( r = 62\) inches and the height \( h=60\) inches. We are given that \( \pi\approx3.14 \).

Step3: Substitute the values into the formula

First, calculate \( r^{2} \): \( r^{2}=62^{2}=62\times62 = 3844 \).
Then, calculate \( \pi r^{2}h \): \( 3.14\times3844\times60 \).
First, \( 3.14\times3844 = 3.14\times3800+3.14\times44=11932 + 138.16=12070.16 \).
Then, \( 12070.16\times60 = 724209.6 \).
Now, find \( \frac{1}{3}\) of this value: \( V=\frac{1}{3}\times724209.6 \).
\( \frac{724209.6}{3}=241403.2 \).

Answer:

\( 241403.2 \)