Question

Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches. Use 3.14 for pi.(1 point)
Responses

2,411.52 cubic inches
2,411.52 cubic inches

602.88 cubic inches
602.88 cubic inches

1,808.64 cubic inches
1,808.64 cubic inches

150.72 cubic inches


Use the image to answer the question.

A 3 D oblique cylinder shows a length of 8 centimeters and perpendicular height of 6 centimeters. The base radius is 3 centimeters.

Find the volume of the cylinder.- Use 3.14 for pi.

(1 point)
Responses

678.24 cubic centimeters
678.24 cubic centimeters

226.08 cubic centimeters
226.08 cubic centimeters

169.56 cubic centimeters
169.56 cubic centimeters

339.12 cubic centimeters


A jar of peanut butter has a height of 16 centimeters and a width of 10 centimeters. Find the volume of the peanut butter jar. Use 3.14 for pi.(1 point)
Responses

2,009.6 cubic centimeters
2,009.6 cubic centimeters

4,019.2 cubic centimeters
4,019.2 cubic centimeters

5,024 cubic centimeters
5,024 cubic centimeters

1,256 cubic centimeters


A water tower has a height of 25 meters and a width of 16 meters. What is the volume of the water tower? Use 3.14 for pi.(1 point)
Responses

7,850 cubic meters
7,850 cubic meters

15,700 cubic meters
15,700 cubic meters

5,024 cubic meters
5,024 cubic meters

20,096 cubic meters


Describe the volume of the cylinder with a base radius of 2.5 in. and a height of 9 in.(1 point)
Responses

π(2.5)2(9)in.3
pi left parenthesis 2.5 right parenthesis squared left parenthesis 9 right parenthesis in. cubed

π(2.5)(9)in.3
pi left parenthesis 2.5 right parenthesis left parenthesis 9 right parenthesis in. cubed

(2.5)(9)in.3
left parenthesis 2.5 right parenthesis left parenthesis 9 right parenthesis in. cubed

π(9)2(2.5)in.3

Answer 1

Let's calculate the volume for each question one at a time.

### Question 1: Volume of a cylinder with a height of 12 inches and a diameter of 8 inches

1. **Calculate the radius**:
\[
\text{Radius} = \frac{\text{Diameter}}{2} = \frac{8 \text{ inches}}{2} = 4 \text{ inches}
\]

2. **Use the formula for the volume of a cylinder**:
\[
V = \pi r^2 h
\]
Substituting the values:
\[
V = 3.14 \times (4)^2 \times 12
\]
\[
V = 3.14 \times 16 \times 12
\]
\[
V = 3.14 \times 192
\]
\[
V = 602.88 \text{ cubic inches}
\]

**Response**: **602.88 cubic inches**

---

### Question 2: Volume of a cylinder with a base radius of 3 cm and a perpendicular height of 6 cm

1. **Use the formula for the volume of a cylinder**:
\[
V = \pi r^2 h
\]
Substituting the values:
\[
V = 3.14 \times (3)^2 \times 6
\]
\[
V = 3.14 \times 9 \times 6
\]
\[
V = 3.14 \times 54
\]
\[
V = 169.56 \text{ cubic centimeters}
\]

**Response**: **169.56 cubic centimeters**

---

### Question 3: Volume of a peanut butter jar with a height of 16 cm and a width of 10 cm

1. **Find the radius**:
\[
\text{Radius} = \frac{\text{Diameter}}{2} = \frac{10 \text{ cm}}{2} = 5 \text{ cm}
\]

2. **Use the volume formula**:
\[
V = \pi r^2 h
\]
Substituting the values:
\[
V = 3.14 \times (5)^2 \times 16
\]
\[
V = 3.14 \times 25 \times 16
\]
\[
V = 3.14 \times 400
\]
\[
V = 1,256 \text{ cubic centimeters}
\]

**Response**: **1,256 cubic centimeters**

---

### Question 4: Volume of a water tower with a height of 25 m and a width of 16 m

1. **Find the radius**:
\[
\text{Radius} = \frac{\text{Diameter}}{2} = \frac{16 \text{ m}}{2} = 8 \text{ m}
\]

2. **Use the volume formula**:
\[
V = \pi r^2 h
\]
Substituting the values:
\[
V = 3.14 \times (8)^2 \times 25
\]
\[
V = 3.14 \times 64 \times 25
\]
\[
V = 3.14 \times 1600
\]
\[
V = 5024 \text{ cubic meters}
\]

**Response**: **5,024 cubic meters**

---

### Question 5: Describe the volume of the cylinder with a base radius of 2.5 in. and a height of 9 in.

Using the formula:
\[
V = \pi r^2 h
\]
Substituting the values:
\[
V = \pi (2.5)^2 (9)
\]

**Response**: **\(\pi(2.5)^2(9) \text{ in}^3\)**

---

Now you have all the responses calculated and described!