Find the surface area of a cylinder with a radius of 4 cm and a height of 2 cm. Use the approximation of 3.14 for pi.(1 point) square centimeters

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find the surface area of a cylinder, you 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.

Given:

  • Radius (\( r \)) = 4 cm
  • Height (\( h \)) = 2 cm
  • Approximation for \( \pi \) = 3.14

Now, substituting the values into the formula:

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

First, calculate \( h + r \):

\[ h + r = 2 + 4 = 6 \]

Now substitute back into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 4 \times 6 \]

Calculating this step-by-step:

  1. \( 2 \times 3.14 = 6.28 \)
  2. \( 6.28 \times 4 = 25.12 \)
  3. \( 25.12 \times 6 = 150.72 \)

Thus, the surface area of the cylinder is:

\[ \text{Surface Area} \approx 150.72 \text{ square centimeters} \]

So, the answer is 150.72 square centimeters.