Question

What is the volume of a cone with a radius of 6cm and a height of 11 cm?

Hint: You may want to use your calculator to help complete the math for this problem, but you will also need the formula for the Volume (V) of a cone. That formula is V = (π)(r²)(h/3).

(1 point)
Responses

1,243.44 cubic centimeters
1,243.44 cubic centimeters

759.88 cubic centimeters
759.88 cubic centimeters

414.48 cubic centimeters

Answer 1

To find the volume of a cone, you can use the formula:

\[
V = \frac{1}{3} \pi r^2 h
\]

Where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately \( 3.14 \).

Given:
- \( r = 6 \) cm
- \( h = 11 \) cm

First, calculate \( r^2 \):
\[
r^2 = 6^2 = 36
\]

Now, substitute the values into the formula:
\[
V = \frac{1}{3} \pi (36)(11)
\]

Calculating the product of \( 36 \) and \( 11 \):
\[
36 \times 11 = 396
\]

Now substitute this back into the volume formula:
\[
V = \frac{1}{3} \pi (396)
\]

Calculating \(\frac{1}{3} \times 396\):
\[
\frac{396}{3} = 132
\]

Now multiply by \( \pi \):
\[
V \approx 132 \times 3.14 \approx 414.48 \text{ cubic centimeters}
\]

Therefore, the volume of the cone is approximately **414.48 cubic centimeters**.

The correct response is:
**414.48 cubic centimeters**.