A can of olives has a diameter of 6 inches and a height of 4 inches. How many square inches of paper will be needed for the label on the outside of the can? Use 3.14 for pi.(1 point)

Question

Responses

150.72
150.72

131.88
131.88

75.36
75.36

376.8

Answer 1

To calculate the amount of paper needed for the label on the outside of the can, we need to find the surface area of the cylindrical can, excluding the top and bottom.

The formula for the lateral surface area of a cylinder is:

\[ \text{Lateral Surface Area} = 2 \pi r h \]

where:

• \( r \) is the radius of the cylinder,
• \( h \) is the height of the cylinder,
• \( \pi \) is approximately 3.14.

Given:

• The diameter of the can is 6 inches, so the radius \( r \) is \( \frac{6}{2} = 3 \) inches.
• The height \( h \) is 4 inches.

Now, plug the values into the formula:

\[ \text{Lateral Surface Area} = 2 \times 3.14 \times 3 \times 4 \]

Calculating step-by-step:

1. Calculate \( 2 \times 3.14 = 6.28 \)
2. Calculate \( 6.28 \times 3 = 18.84 \)
3. Calculate \( 18.84 \times 4 = 75.36 \)

So, the lateral surface area, which is the area of the label needed, is \( 75.36 \) square inches.

Therefore, the answer is:

75.36