Question

find the volume of the cone.
12 cm
r = 8 cm
v = ? cm³
round to the nearest tenth.

Explanation:

Step1: Recall the volume formula for a 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: Substitute the given values into the formula

Given \( r = 8\) cm and \( h=12\) cm. Substitute these into the formula:
\( V=\frac{1}{3}\times\pi\times8^{2}\times12 \)
First, calculate \( 8^{2}=64 \). Then \( 64\times12 = 768 \).
So \( V=\frac{1}{3}\times\pi\times768 \)
\( V = 256\pi \)

Step3: Calculate the numerical value

Using \( \pi\approx3.14159 \), then \( V=256\times3.14159\)
\( V\approx804.2 \) (rounded to the nearest tenth)

Answer:

\(804.2\)