Find the volume in cubic inches of a cylinder with a diameter of 16 inches and a height of 7 inches. Use 3.14 for pi. Round your answer to the nearest hundreth

Answer 1

To find the volume \( V \) of a cylinder, you can use the formula:

\[ V = \pi r^2 h \]

where \( r \) is the radius and \( h \) is the height.

1. Find the radius: Since the diameter is 16 inches, the radius \( r \) is half of that:

\[ r = \frac{16}{2} = 8 \text{ inches} \]

2. Substituting the values into the volume formula: We know \( \pi \) is approximately 3.14, and the height \( h \) is 7 inches. Now we can substitute these values into the formula:

\[ V = 3.14 \times (8)^2 \times 7 \]

3. Calculating \( (8)^2 \):

\[ (8)^2 = 64 \]

4. Now substitute this value back into the equation:

\[ V = 3.14 \times 64 \times 7 \]

5. Calculating \( 64 \times 7 \):

\[ 64 \times 7 = 448 \]

6. Now substitute this into the equation:

\[ V = 3.14 \times 448 \]

7. Calculating \( 3.14 \times 448 \):

\[ V = 1407.92 \]

Thus, the volume of the cylinder, rounded to the nearest hundredth, is:

\[ \boxed{1407.92} \text{ cubic inches} \]