Final answer:
To make each waffle cone with a radius of 1 inch and slant height of 5.1 inches, the amount of waffle needed, calculated as the lateral surface area of the cone, is approximately 16 in².
Step-by-step explanation:
To find out how much waffle is needed to make each cone, we need to calculate the surface area of the cone's lateral side (not including the base). Since we have a slant height of 5.1 inches and a radius of 1 inch, we can use the formula for the lateral surface area of a cone, which is πrl, where r is the radius and l is the slant height.
Plugging in the given values:
Lateral surface area = π × 1 in × 5.1 in
Lateral surface area = π × 5.1 in²
Using 3.14 as the approximation for π, we get:
Lateral surface area ≈ 3.14 × 5.1 in² ≈ 16 in²
Since we are asked to express the answer to the nearest square inch, the surface area is approximately 16 in². Therefore, the correct answer is (b) 16 in².