To find the surface area of a cylinder, we need to use the formula:
SA = 2πr² + 2πrh
where r is the radius of the circular base, h is the height of the cylinder, and π is a constant equal to approximately 3.14.
First, we need to find the radius of the circular base. We know that the diameter of the base is 1.5 inches, so the radius is 1.5/2 = 0.75 inches.
Next, we can plug in the values we know:
SA = 2π(0.75)² + 2π(0.75)(10)
SA = 3.54 + 47.12
SA = 50.66
Therefore, Khalil will need approximately 50.66 square inches of wrapping paper to cover the candle.
The formulas used to solve this problem are the surface area of a cylinder formula: SA = 2πr² + 2πrh and the formula to find the radius of a circle: r = d/2, where d is the diameter of the circle. These formulas were created by mathematicians and are commonly used in geometry and calculus.