Question
3 cm
8 cm
6 cm
Find the volume of the cylinder.- Use 3.14 for pi.
(1 point)
• 678.24 cubic centimeters
• 169.56 cubic centimeters
• 226.08 cubic centimeters
• 339.12 cubic centimeters
8 cm
6 cm
Find the volume of the cylinder.- Use 3.14 for pi.
(1 point)
• 678.24 cubic centimeters
• 169.56 cubic centimeters
• 226.08 cubic centimeters
• 339.12 cubic centimeters
Answers
GPT-4o mini
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,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
From the dimensions you provided, it seems like 3 cm is the radius, and 8 cm is the height. Let's plug these values into the formula.
1. Calculate the area of the base:
\[
r = 3 \text{ cm} \\
\pi \approx 3.14 \\
\text{Area of base} = \pi r^2 = 3.14 \times (3)^2 = 3.14 \times 9 = 28.26 \text{ cm}^2
\]
2. Now multiply by the height (8 cm):
\[
h = 8 \text{ cm} \\
V = \text{Area of base} \times h = 28.26 \text{ cm}^2 \times 8 \text{ cm} = 226.08 \text{ cm}^3
\]
So the volume of the cylinder is **226.08 cubic centimeters**.
The correct answer is:
• 226.08 cubic centimeters.
\[
V = \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
From the dimensions you provided, it seems like 3 cm is the radius, and 8 cm is the height. Let's plug these values into the formula.
1. Calculate the area of the base:
\[
r = 3 \text{ cm} \\
\pi \approx 3.14 \\
\text{Area of base} = \pi r^2 = 3.14 \times (3)^2 = 3.14 \times 9 = 28.26 \text{ cm}^2
\]
2. Now multiply by the height (8 cm):
\[
h = 8 \text{ cm} \\
V = \text{Area of base} \times h = 28.26 \text{ cm}^2 \times 8 \text{ cm} = 226.08 \text{ cm}^3
\]
So the volume of the cylinder is **226.08 cubic centimeters**.
The correct answer is:
• 226.08 cubic centimeters.