Find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. Use the approximation 3.14 for pi.(1 point)

Question

345.4 square inches
314 square inches
471 inches
471 square inches

Answer 1

The formula for the surface area of a cylinder is:
2πr(radius)² + 2πr(radius)(height).
Given that the radius is 5 inches and the height is 10 inches, we can substitute these values into the formula:
2π(5)² + 2π(5)(10) = 2π(25) + 2π(50) = 50π + 100π = 150π.
Now, we can approximate π as 3.14:
150π ≈ 150(3.14) = 471 square inches.
Therefore, the surface area of the cylinder is approximately 471 square inches. Answer: \boxed{471\text{ square inches}}.

Answer 2

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)
94.2 square inches
37.68 square inches
301.44 square inches
62.8 square inches

Answer 3

The formula for the surface area of a cylinder is:
2πr(radius)² + 2πr(radius)(height).
Given that the diameter is 6 inches, the radius is half of the diameter, which is 3 inches. The height is given as 2 inches.
We can substitute these values into the formula:
2π(3)² + 2π(3)(2) = 2π(9) + 2π(6) = 18π + 12π = 30π.
Now, we can approximate π as 3.14:
30π ≈ 30(3.14) = 94.2 square inches.
Therefore, the total surface area of the cheese wheel is approximately 94.2 square inches. Answer: \boxed{94.2\text{ square inches}}.