Question

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)301.44 square inches62.8 square inches37.68 square inches94.2 square inches

Explanation:

Step1: Find radius from diameter

The radius $r$ is half the diameter:
$r = \frac{6}{2} = 3$ inches

Step2: Calculate area of two circular ends

Use the formula for area of a circle $A_{circle} = \pi r^2$, multiply by 2:
$2 \times 3.14 \times 3^2 = 2 \times 3.14 \times 9 = 56.52$ square inches

Step3: Calculate lateral surface area

Use the formula $A_{lateral} = 2\pi r h$ (or $\pi d h$):
$3.14 \times 6 \times 2 = 37.68$ square inches

Step4: Sum all surface areas

Add the area of the two ends and the lateral area:
$56.52 + 37.68 = 94.2$ square inches

Answer:

94.2 square inches