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)

Responses

131.88
131.88
376.8
376.8
150.72
150.72
75.36

3 answers

To find the total surface area of the can, we need to find the surface area of the curved part (cylinder) and the surface area of the top and bottom (two circles).

The formula for the surface area of a cylinder is 2πrh, where r is the radius and h is the height.

Given that the diameter is 6 inches, the radius is 6/2 = 3 inches.

Using the formula, the surface area of the curved part is 2 * 3.14 * 3 * 4 = 75.36 square inches.

The formula for the surface area of a circle is πr^2.

Using the formula, the surface area of each circle is 3.14 * 3^2 = 28.26 square inches.

Since there are two circles (top and bottom), the total surface area of the circles is 2 * 28.26 = 56.52 square inches.

Adding the surface area of the curved part and the circles, we get a total surface area of 75.36 + 56.52 = 131.88 square inches.

Therefore, 131.88 square inches of paper will be needed for the label on the outside of the can.
A wheel of cheese has a diameter of 6 inches and a height of 2 inch. A chef is making an appetizer where the cheese will be covered with pastry. To know how much pastry is needed, the chef wants to know the surface area of the cheese wheel. What is the total surface area of the cheese wheel in square inches? Use 3.14 for pi.(1 point)
Responses

301.44 square inches
301.44 square inches
94.2 square inches
94.2 square inches
62.8 square inches
62.8 square inches
37.68 square inches
To find the total surface area of the cheese wheel, we need to find the surface area of the curved part (cylinder) and the surface area of the top and bottom (two circles).

The formula for the surface area of a cylinder is 2πrh, where r is the radius and h is the height.

Given that the diameter is 6 inches, the radius is 6/2 = 3 inches.

Using the formula, the surface area of the curved part is 2 * 3.14 * 3 * 2 = 37.68 square inches.

The formula for the surface area of a circle is πr^2.

Using the formula, the surface area of each circle is 3.14 * 3^2 = 28.26 square inches.

Since there are two circles (top and bottom), the total surface area of the circles is 2 * 28.26 = 56.52 square inches.

Adding the surface area of the curved part and the circles, we get a total surface area of 37.68 + 56.52 = 94.2 square inches.

Therefore, the total surface area of the cheese wheel is 94.2 square inches.