The surface area of a cylinder can be calculated by adding the area of the two bases (which are circles) and the lateral surface area.
The area of the circle is calculated using the formula A = πr^2, where r is the radius. The radius of the cheese wheel is half of the diameter, so it is 6/2 = 3 inches.
The area of one base is A = π(3^2) = π(9) = 9π square inches.
The lateral surface area is calculated using the formula A = 2πrh, where r is the radius and h is the height. For the cheese wheel, the radius is 3 inches and the height is 2 inches.
The lateral surface area is A = 2π(3)(2) = 12π square inches.
Adding the area of the two bases and the lateral surface area, we get the total surface area:
Total surface area = 2(9π) + 12π = 18π + 12π = 30π square inches.
So, the total surface area of the cheese wheel is 30π square inches.
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? B
3 answers
What is 30pi without the pi
To approximate the value of 30π without pi, we can use the value of π as approximately 3.14.
30π ≈ 30(3.14) ≈ 94.2
So, 30π is approximately 94.2.
30π ≈ 30(3.14) ≈ 94.2
So, 30π is approximately 94.2.