Question
How much string would you need to go around the bottom of a hat shaped like a cone if the radius is 4 inches? (Use 3.14 for π)
Responses
A 12.56 inches
B 25.12 inches
C 50.24 inches
D 120.32 inches
Responses
A 12.56 inches
B 25.12 inches
C 50.24 inches
D 120.32 inches
Answers
GPT-4o mini
To find the length of string needed to go around the bottom of a cone-shaped hat, we need to calculate the circumference of the base of the cone. The formula for the circumference \( C \) of a circle is given by:
\[
C = 2\pi r
\]
where \( \pi \) is approximately 3.14 and \( r \) is the radius.
Given that the radius \( r \) is 4 inches, we can substitute the values into the formula:
\[
C = 2 \times 3.14 \times 4
\]
Calculating this:
\[
C = 2 \times 3.14 \times 4 = 6.28 \times 4 = 25.12 \text{ inches}
\]
Therefore, the amount of string needed to go around the bottom of the hat is 25.12 inches.
The correct response is **B: 25.12 inches**.
\[
C = 2\pi r
\]
where \( \pi \) is approximately 3.14 and \( r \) is the radius.
Given that the radius \( r \) is 4 inches, we can substitute the values into the formula:
\[
C = 2 \times 3.14 \times 4
\]
Calculating this:
\[
C = 2 \times 3.14 \times 4 = 6.28 \times 4 = 25.12 \text{ inches}
\]
Therefore, the amount of string needed to go around the bottom of the hat is 25.12 inches.
The correct response is **B: 25.12 inches**.