Question

Find the surface area of a cylinder with a radius of 4 and a height of 3. Use 3.14 for π
.

Round your answer to the nearest tenths place.



(1 point)
Responses

87.9 cm2
87.9 cm 2

175.8 cm2
175.8 cm 2

120.3 cm2
120.3 cm 2

75.3 cm2
75.3 cm 2

Answer 1

To find the surface area of a cylinder, you can use the following formula:

\[
\text{Surface Area} = 2\pi r(h + r)
\]

where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is a constant (use 3.14 as specified).

Given:
- \( r = 4 \) cm,
- \( h = 3 \) cm.

Now substituting the values into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 4(3 + 4)
\]

Calculating the height plus radius:

\[
h + r = 3 + 4 = 7
\]

Now substitute this back into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 4 \times 7
\]

Calculating step-by-step:

1. \( 2 \times 3.14 = 6.28 \)
2. \( 4 \times 7 = 28 \)
3. \( 6.28 \times 28 = 175.84 \)

Finally, round to the nearest tenths place:

\[
\text{Surface Area} \approx 175.8 \text{ cm}^2
\]

Thus, the surface area of the cylinder is **175.8 cm²**.