Find the volume of a cone with a radius of 7ft and a height of 10 ft. This cone is storing animal feed. round your answer to the nearest hundredth. use3.14 for pi.

Question

-512.87
-219.8
-1538.6
-384.65
-549.5

Answer 1

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

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

where:

• \( V \) is the volume,
• \( r \) is the radius,
• \( h \) is the height, and
• \( \pi \) is approximately 3.14.

Given:

• Radius \( r = 7 \) ft,
• Height \( h = 10 \) ft.

Now plug in the values into the formula:

\[ V = \frac{1}{3} \times 3.14 \times (7)^2 \times 10 \]

Calculating \( (7)^2 \):

\[ (7)^2 = 49 \]

Now, substituting back into the volume formula:

\[ V = \frac{1}{3} \times 3.14 \times 49 \times 10 \]

Calculating \( 49 \times 10 \):

\[ 49 \times 10 = 490 \]

Now substitute that back in:

\[ V = \frac{1}{3} \times 3.14 \times 490 \]

Calculating \( 3.14 \times 490 \):

\[ 3.14 \times 490 \approx 1538.6 \]

Now divide by 3:

\[ V \approx \frac{1538.6}{3} \approx 512.87 \]

Rounded to the nearest hundredth, the volume of the cone is:

\[ V \approx 512.87 , \text{ft}^3 \]

Thus, the answer is:

\(-512.87\) (corresponding to your list of options).