Question
Find the surface area of the cylinder. 2 yards + 3 yards
Use the approximation of 3.14 for pi.
Use the approximation of 3.14 for pi.
Answers
GPT-4o mini
To find the surface area of a cylinder, we can use the formula:
\[
\text{Surface Area} = 2\pi r(h + r)
\]
where \( r \) is the radius and \( h \) is the height of the cylinder.
From the problem statement, it seems like you have a total combined height of "2 yards + 3 yards". This can be interpreted as:
\[
h = 2 + 3 = 5 \text{ yards}
\]
However, we still need the radius (\( r \)). Since the problem does not specify the radius, let’s assume a radius of 1 yard to demonstrate the calculation. You can replace this value with any specific radius if available.
Let’s take \( r = 1 \text{ yard} \) and \( h = 5 \text{ yards} \).
Now, substituting into the surface area formula:
\[
\text{Surface Area} = 2 \pi (1) (5 + 1)
\]
\[
= 2 \pi (1)(6)
\]
\[
= 12 \pi
\]
Now, using \( \pi \approx 3.14 \):
\[
\text{Surface Area} \approx 12 \times 3.14 = 37.68 \text{ square yards}
\]
Therefore, the surface area of the cylinder with a radius of 1 yard and a height of 5 yards is approximately \( 37.68 \) square yards. If you have a different radius, please provide that for further calculations.
\[
\text{Surface Area} = 2\pi r(h + r)
\]
where \( r \) is the radius and \( h \) is the height of the cylinder.
From the problem statement, it seems like you have a total combined height of "2 yards + 3 yards". This can be interpreted as:
\[
h = 2 + 3 = 5 \text{ yards}
\]
However, we still need the radius (\( r \)). Since the problem does not specify the radius, let’s assume a radius of 1 yard to demonstrate the calculation. You can replace this value with any specific radius if available.
Let’s take \( r = 1 \text{ yard} \) and \( h = 5 \text{ yards} \).
Now, substituting into the surface area formula:
\[
\text{Surface Area} = 2 \pi (1) (5 + 1)
\]
\[
= 2 \pi (1)(6)
\]
\[
= 12 \pi
\]
Now, using \( \pi \approx 3.14 \):
\[
\text{Surface Area} \approx 12 \times 3.14 = 37.68 \text{ square yards}
\]
Therefore, the surface area of the cylinder with a radius of 1 yard and a height of 5 yards is approximately \( 37.68 \) square yards. If you have a different radius, please provide that for further calculations.