Fidn the surface area of a cylinder with a radius of 4 cm and a height of 2 cm use the aproximation of 3.14 as pi

1 answer

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

\[ SA = 2\pi r(h + r) \]

where:

  • \( SA \) is the surface area,
  • \( r \) is the radius,
  • \( h \) is the height,
  • \( \pi \) is approximately 3.14 in this case.

Given:

  • Radius \( r = 4 \) cm
  • Height \( h = 2 \) cm

Now we can substitute these values into the formula.

First, calculate \( h + r \):

\[ h + r = 2 , \text{cm} + 4 , \text{cm} = 6 , \text{cm} \]

Now substitute into the surface area formula:

\[ SA = 2 \times 3.14 \times 4 , \text{cm} \times 6 , \text{cm} \]

Calculating this step by step:

  1. Calculate \( 2 \times 3.14 = 6.28 \)

  2. Multiply by the radius \( 6.28 \times 4 = 25.12 \)

  3. Finally, multiply by \( 6 \):

    \[ SA = 25.12 \times 6 = 150.72 , \text{cm}^2 \]

Thus, the surface area of the cylinder is \( \text{SA} \approx 150.72 , \text{cm}^2 \).