Question

1. what is the volume of the cone shown? (use π = 3.14) a. 130,833.33 cm³ b. 65,416.67 cm³ c. 49,062.50 cm³ d. 32,708.33 cm³

Explanation:

Step1: Recall volume formula for cone

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

Step2: Identify values of $r$ and $h$

From the figure, $r = 25$ cm and $h=50$ cm.

Step3: Substitute values into formula

$V=\frac{1}{3}\times3.14\times25^{2}\times50$.
First, calculate $25^{2}=625$. Then $V=\frac{1}{3}\times3.14\times625\times50$.
$3.14\times625\times50 = 3.14\times31250=98125$.
$V=\frac{98125}{3}\approx32708.33$ $cm^{3}$.

Answer:

D. $32,708.33$ $cm^{3}$