Question
The cylinder above has a base area of 4 pi
and a height of 5cm
. What is the volume of the cylinder?
Responses
A
9 pi cm squared
B
20 pi cm cubed
C
144 pi cm cubed
D
28 pi cm cubed
and a height of 5cm
. What is the volume of the cylinder?
Responses
A
9 pi cm squared
B
20 pi cm cubed
C
144 pi cm cubed
D
28 pi cm cubed
Answers
GPT-4o mini
To find the volume of a cylinder, you can use the formula:
\[
V = \text{Base Area} \times \text{Height}
\]
Given the base area is \( 4\pi \) cm² and the height is \( 5 \) cm, you can substitute these values into the formula:
\[
V = 4\pi \, \text{cm}^2 \times 5 \, \text{cm}
\]
Calculating this gives:
\[
V = 20\pi \, \text{cm}^3
\]
Thus, the volume of the cylinder is \( 20\pi \) cm³, which corresponds to option B.
The correct answer is:
**B. 20 pi cm cubed**
\[
V = \text{Base Area} \times \text{Height}
\]
Given the base area is \( 4\pi \) cm² and the height is \( 5 \) cm, you can substitute these values into the formula:
\[
V = 4\pi \, \text{cm}^2 \times 5 \, \text{cm}
\]
Calculating this gives:
\[
V = 20\pi \, \text{cm}^3
\]
Thus, the volume of the cylinder is \( 20\pi \) cm³, which corresponds to option B.
The correct answer is:
**B. 20 pi cm cubed**