Question

1
note: figure is not drawn to scale.
if ( h = 24 ) units and ( r = 8 ) units, what is the volume of the cone shown above?
use 3.14 for ( pi ).
a. 602.88 cubic units
b. 4,823.04 cubic units
c. 200.96 cubic units
d. 1,607.68 cubic units
reset next

Explanation:

Step1: Recall the formula for the volume of a cone

The formula for the volume of a cone is \( V=\frac{1}{3}\pi r^{2}h \).

Step2: Substitute the given values into the formula

Given \( r = 8\) units, \( h=24\) units, and \( \pi = 3.14\).
First, calculate \( r^{2}\): \( r^{2}=8^{2}=64\).
Then, substitute into the formula: \( V=\frac{1}{3}\times3.14\times64\times24\).

Step3: Perform the multiplication

\(\frac{1}{3}\times3.14\times64\times24=( \frac{1}{3}\times24)\times3.14\times64\).
Since \(\frac{1}{3}\times24 = 8\), then \( V=8\times3.14\times64\).
\(8\times3.14 = 25.12\), and \(25.12\times64=(25 + 0.12)\times64=25\times64+0.12\times64=1600+7.68 = 1607.68\).

Answer:

D. 1,607.68 cubic units