Surface Area of Cylinders Practice

Question

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Question
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.

Answer 1

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

\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]

where \( r \) is the radius and \( h \) is the height.

Given:

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

Now, plug in the values into the formula:

1. Calculate the area of the two circular bases: \[ 2\pi r^2 = 2 \times 3.14 \times (4)^2 = 2 \times 3.14 \times 16 = 100.48 , \text{cm}^2 \]

2. Calculate the lateral surface area: \[ 2\pi rh = 2 \times 3.14 \times 4 \times 2 = 2 \times 3.14 \times 8 = 50.24 , \text{cm}^2 \]

3. Add both areas together to find the total surface area: \[ \text{Total Surface Area} = 100.48 , \text{cm}^2 + 50.24 , \text{cm}^2 = 150.72 , \text{cm}^2 \]

Thus, the surface area of the cylinder is 150.72 cm².