Question
A cylinder has a base area of 28.2m^2 and a height of 3.1m. Estimate the volume of the cylinder.
31m^3
31m^2
48m^2
84m^3
31m^3
31m^2
48m^2
84m^3
Answers
GPT-4o mini
The volume \( V \) of a cylinder can be calculated using the formula:
\[
V = \text{Base Area} \times \text{Height}
\]
Here, the base area is \( 28.2 \, \text{m}^2 \) and the height is \( 3.1 \, \text{m} \).
Calculating the volume:
\[
V = 28.2 \, \text{m}^2 \times 3.1 \, \text{m} = 87.42 \, \text{m}^3
\]
Since the options provided are:
- 31 m³
- 31 m²
- 48 m²
- 84 m³
The closest estimate for the volume of the cylinder is \( 84 \, \text{m}^3 \).
\[
V = \text{Base Area} \times \text{Height}
\]
Here, the base area is \( 28.2 \, \text{m}^2 \) and the height is \( 3.1 \, \text{m} \).
Calculating the volume:
\[
V = 28.2 \, \text{m}^2 \times 3.1 \, \text{m} = 87.42 \, \text{m}^3
\]
Since the options provided are:
- 31 m³
- 31 m²
- 48 m²
- 84 m³
The closest estimate for the volume of the cylinder is \( 84 \, \text{m}^3 \).