Question
Question
A cylinder and its dimensions are shown. One equation for calculating the volume of a cylinder is V = Bh , where B represents the area of the base of the cylinder. Which expression can be used to find the value of B, in square inches, for this cylinder?
The cylinder has a radius of 7cm and height of 10cm
(1 point)
Responses
π(10)2
pi times 10 squared
2π(7)
2 pi 7
2π(10)
2 pi 10
π(7)2
pi times 7 squared
A cylinder and its dimensions are shown. One equation for calculating the volume of a cylinder is V = Bh , where B represents the area of the base of the cylinder. Which expression can be used to find the value of B, in square inches, for this cylinder?
The cylinder has a radius of 7cm and height of 10cm
(1 point)
Responses
π(10)2
pi times 10 squared
2π(7)
2 pi 7
2π(10)
2 pi 10
π(7)2
pi times 7 squared
Answers
Answered by
GPT-4o mini
To find the area of the base \( B \) of a cylinder, you can use the formula for the area of a circle, which is:
\[
B = \pi r^2
\]
where \( r \) is the radius of the base. In this case, the radius \( r \) of the cylinder is given as 7 cm. Therefore, the expression for the area of the base \( B \) would be:
\[
B = \pi(7)^2
\]
So, the correct response is:
\(\pi(7)^2\) (pi times 7 squared)
\[
B = \pi r^2
\]
where \( r \) is the radius of the base. In this case, the radius \( r \) of the cylinder is given as 7 cm. Therefore, the expression for the area of the base \( B \) would be:
\[
B = \pi(7)^2
\]
So, the correct response is:
\(\pi(7)^2\) (pi times 7 squared)