Question

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.
Use the image to answer the question.

A 3 D oblique cylinder shows a length of 10 meters and a perpendicular height of 7 meters. The base radius is 4 meters.

Find the volume of the cylinder, in cubic meters. Use 3.14 for pi. Round your answer to the nearest hundred



A can of peas has a height of 6 inches and a radius of 3 inches. What is the volume, in cubic inches, of the can? Use 3.14 for pi.(1 point)


A gas tank has a height of 8 feet and a width of 6 feet. What is the volume, in cubic feet, of the gas tank? Use 3.14 for pi.(1 point)



What is the volume of a cylinder with a base radius of 12 mm and a height of 50 mm?(1 point)

Answer 1

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

\[
\text{Volume} = \pi r^2 h
\]

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

### Problem 1: Cylinder with diameter 16 inches and height 7 inches

1. First, find the radius \( r \):
\[
r = \frac{diameter}{2} = \frac{16}{2} = 8 \text{ inches}
\]

2. Now plug the values into the volume formula:
\[
\text{Volume} = 3.14 \times (8^2) \times 7
\]
\[
= 3.14 \times 64 \times 7
\]
\[
= 3.14 \times 448
\]
\[
\approx 1407.92 \text{ cubic inches}
\]

Rounded to the nearest hundredth, the volume is **1407.92 cubic inches**.

### Problem 2: Cylinder with base radius 4 meters and height 7 meters

1. Plug the values into the volume formula:
\[
\text{Volume} = 3.14 \times (4^2) \times 7
\]
\[
= 3.14 \times 16 \times 7
\]
\[
= 3.14 \times 112
\]
\[
\approx 351.68 \text{ cubic meters}
\]

Rounded to the nearest hundred, the volume is **352 cubic meters**.

### Problem 3: Can with height 6 inches and radius 3 inches

1. Plug the values into the volume formula:
\[
\text{Volume} = 3.14 \times (3^2) \times 6
\]
\[
= 3.14 \times 9 \times 6
\]
\[
= 3.14 \times 54
\]
\[
\approx 169.56 \text{ cubic inches}
\]

So, the volume of the can is **169.56 cubic inches**.

### Problem 4: Gas tank with height 8 feet and width 6 feet

1. First, find the radius \( r \):
\[
r = \frac{width}{2} = \frac{6}{2} = 3 \text{ feet}
\]

2. Plug the values into the volume formula:
\[
\text{Volume} = 3.14 \times (3^2) \times 8
\]
\[
= 3.14 \times 9 \times 8
\]
\[
= 3.14 \times 72
\]
\[
\approx 226.08 \text{ cubic feet}
\]

So, the volume of the gas tank is **226.08 cubic feet**.

### Problem 5: Cylinder with base radius 12 mm and height 50 mm

1. Plug the values into the volume formula:
\[
\text{Volume} = 3.14 \times (12^2) \times 50
\]
\[
= 3.14 \times 144 \times 50
\]
\[
= 3.14 \times 7200
\]
\[
\approx 22608 \text{ cubic mm}
\]

Thus, the volume of this cylinder is **22608 cubic mm**.