Question
Find the surface area of a cylinder with a radius of 4 and a height of 3. Use 3.14 for π
.
(1 point)
Responses
709.89 mm2
709.89 mm 2
175.84 mm2
175.84 mm 2
100.48 mm2
100.48 mm 2
75.36 mm2
.
(1 point)
Responses
709.89 mm2
709.89 mm 2
175.84 mm2
175.84 mm 2
100.48 mm2
100.48 mm 2
75.36 mm2
Answers
GPT-4o mini
To find the surface area of a cylinder, we use the formula:
\[
\text{Surface Area} = 2\pi r(h + r)
\]
where \( r \) is the radius and \( h \) is the height. Given that the radius \( r = 4 \) and the height \( h = 3 \), we can substitute these values into the formula.
1. Calculate \( h + r \):
\[
h + r = 3 + 4 = 7
\]
2. Substitute \( r \) and \( h + r \) into the surface area formula:
\[
\text{Surface Area} = 2 \times 3.14 \times 4 \times 7
\]
3. Calculate:
\[
\text{Surface Area} = 2 \times 3.14 \times 4 \times 7 = 2 \times 3.14 \times 28
\]
\[
= 2 \times 87.92 = 175.84
\]
Thus, the surface area of the cylinder is **175.84 mm²**.
Therefore, the correct response is:
**175.84 mm²**
\[
\text{Surface Area} = 2\pi r(h + r)
\]
where \( r \) is the radius and \( h \) is the height. Given that the radius \( r = 4 \) and the height \( h = 3 \), we can substitute these values into the formula.
1. Calculate \( h + r \):
\[
h + r = 3 + 4 = 7
\]
2. Substitute \( r \) and \( h + r \) into the surface area formula:
\[
\text{Surface Area} = 2 \times 3.14 \times 4 \times 7
\]
3. Calculate:
\[
\text{Surface Area} = 2 \times 3.14 \times 4 \times 7 = 2 \times 3.14 \times 28
\]
\[
= 2 \times 87.92 = 175.84
\]
Thus, the surface area of the cylinder is **175.84 mm²**.
Therefore, the correct response is:
**175.84 mm²**