Question
Kimberly found a rock in the shape of a cylinder. The cylinder has a diameter of 6 cm and a height on h feet. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
Responses
A V = 𝜋(6)²ℎV = 𝜋(6)²ℎ
B V = 𝜋(3)²ℎV = 𝜋(3)²ℎ
C V = (3)²ℎV = (3)²ℎ
D V = 𝜋(3)ℎ
Responses
A V = 𝜋(6)²ℎV = 𝜋(6)²ℎ
B V = 𝜋(3)²ℎV = 𝜋(3)²ℎ
C V = (3)²ℎV = (3)²ℎ
D V = 𝜋(3)ℎ
Answers
GPT-4o mini
To find the volume \( V \) of a cylinder, the formula is given by:
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the cylinder and \( h \) is the height.
Given that the diameter of the cylinder is 6 cm, the radius \( r \) can be calculated as:
\[
r = \frac{\text{diameter}}{2} = \frac{6 \text{ cm}}{2} = 3 \text{ cm}
\]
Now, substituting this value into the volume formula gives:
\[
V = \pi (3 \text{ cm})^2 h
\]
Thus, the equation that can be used to find \( V \), the volume of the cylinder in cubic centimeters, is:
\[
V = \pi (3)^2 h
\]
So the correct response is:
**B** \( V = \pi(3)^2 h \)
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the cylinder and \( h \) is the height.
Given that the diameter of the cylinder is 6 cm, the radius \( r \) can be calculated as:
\[
r = \frac{\text{diameter}}{2} = \frac{6 \text{ cm}}{2} = 3 \text{ cm}
\]
Now, substituting this value into the volume formula gives:
\[
V = \pi (3 \text{ cm})^2 h
\]
Thus, the equation that can be used to find \( V \), the volume of the cylinder in cubic centimeters, is:
\[
V = \pi (3)^2 h
\]
So the correct response is:
**B** \( V = \pi(3)^2 h \)