Question

Find the surface area of the cylinder that ahs a diameter of 2 yards and a height of 3 yards sue the aproximation 3.14 as pi
75.26
62.8
25.12
32.97

Answer 1

are you sure

Answer 2

The surface area \( S \) of a cylinder is given by the formula:

\[
S = 2\pi r^2 + 2\pi rh
\]

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.

Given that the diameter of the cylinder is 2 yards, we can find the radius:

\[
r = \frac{\text{diameter}}{2} = \frac{2 \text{ yards}}{2} = 1 \text{ yard}
\]

The height \( h \) is given as 3 yards.

Now, we can substitute these values into the surface area formula. Using \( \pi \approx 3.14 \):

1. Calculate \( 2\pi r^2 \):

\[
2\pi r^2 = 2 \times 3.14 \times (1)^2 = 2 \times 3.14 \times 1 = 6.28
\]

2. Calculate \( 2\pi rh \):

\[
2\pi rh = 2 \times 3.14 \times 1 \times 3 = 2 \times 3.14 \times 3 = 18.84
\]

3. Now, add both parts together to get the total surface area:

\[
S = 6.28 + 18.84 = 25.12
\]

Thus, the surface area of the cylinder is \( \boxed{25.12} \) square yards.

Answer 3

Let's double-check the calculation step by step.

The formula for the surface area of a cylinder is:

\[
S = 2\pi r^2 + 2\pi rh
\]

1. **Find the radius**: Given that the diameter is 2 yards, the radius \( r \) is:
\[
r = \frac{\text{diameter}}{2} = \frac{2 \text{ yards}}{2} = 1 \text{ yard}
\]

2. **Given values**:
- Radius \( r = 1 \) yard
- Height \( h = 3 \) yards
- Use \( \pi \approx 3.14 \)

3. **Calculate \( 2\pi r^2 \)**:
\[
2\pi r^2 = 2 \times 3.14 \times (1)^2 = 2 \times 3.14 \times 1 = 6.28 \text{ square yards}
\]

4. **Calculate \( 2\pi rh \)**:
\[
2\pi rh = 2 \times 3.14 \times 1 \times 3 = 2 \times 3.14 \times 3 = 18.84 \text{ square yards}
\]

5. **Add the two parts to find the total surface area**:
\[
S = 6.28 + 18.84 = 25.12 \text{ square yards}
\]

Yes, the calculation holds true, and the surface area of the cylinder is indeed \( \boxed{25.12} \) square yards.