Question

volume of cylinders practice
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 hundredth.(1 point)

Answer 1

that is wronggg

Answer 2

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

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

where:
- \( V \) is the volume,
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.

Given:
- The diameter of the cylinder is 16 inches, so the radius \( r \) is half of the diameter:

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

- The height \( h \) is given as 7 inches.

Now, substitute the values into the volume formula:

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

Calculate \( (8)^2 \):

\[
(8)^2 = 64
\]

Now substitute back into the volume formula:

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

First, calculate \( 64 \times 7 \):

\[
64 \times 7 = 448
\]

Now multiply by \( \pi \):

\[
V = 3.14 \times 448
\]

Calculate \( 3.14 \times 448 \):

\[
V \approx 1407.92
\]

Lastly, rounding to the nearest hundredth, the volume of the cylinder is:

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

Answer 3

Let’s go through the calculation step by step again to ensure accuracy.

1. **Find the radius**:
Given the diameter is 16 inches, the radius \( r \) is:
\[
r = \frac{16}{2} = 8 \text{ inches}
\]

2. **Height**:
The height \( h \) is given as 7 inches.

3. **Volume formula**:
The formula for the volume \( V \) of a cylinder is:
\[
V = \pi r^2 h
\]

4. **Substituting the values**:
Using \( \pi \approx 3.14 \), we substitute \( r \) and \( h \) into the formula:
\[
V = 3.14 \times (8)^2 \times 7
\]

5. **Calculate \( (8)^2 \)**:
\[
(8)^2 = 64
\]

6. **Now the volume formula becomes**:
\[
V = 3.14 \times 64 \times 7
\]

7. **Calculate \( 64 \times 7 \)**:
\[
64 \times 7 = 448
\]

8. **Now multiply by \( 3.14 \)**:
\[
V = 3.14 \times 448
\]

Performing the multiplication:
\[
3.14 \times 448 = 1406.72
\]

9. **Final result**:
Rounding to the nearest hundredth, the volume of the cylinder is:
\[
\boxed{1406.72} \text{ cubic inches}
\]

I apologize for the oversight in my previous response. Thank you for your patience!