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

131.88 131.88 150.72 150.72 75.36 75.36 376.8

Answer 1

To determine the surface area of the label needed for the outside of the can of olives, we need to calculate the lateral surface area of the cylindrical can, which is given by the formula:

$$\text{Lateral Surface Area}=2\pi rh$$

Where:

• $r$ is the radius of the cylinder,
• $h$ is the height of the cylinder.

Step 1: Find the radius

The diameter of the can is 6 inches, so the radius $r$ is:

$$r=\frac{\text{diameter}}{2}=\frac{6}{2}=3\text{ inches}$$

Step 2: Use the height

The height $h$ of the can is given as 4 inches.

Step 3: Calculate the lateral surface area

Now we can plug values into the formula:

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

Step 4: Perform the calculations

First, calculate $2\times 3.14$:

$$2\times 3.14=6.28$$

Now, calculate $6.28\times 3$:

$$6.28\times 3=18.84$$

Finally, calculate $18.84\times 4$:

$$18.84\times 4=75.36$$

Conclusion

The amount of square inches of paper needed for the label on the outside of the can is 75.36 square inches.