First, we need to find the lateral surface area of the cylindrical pencil case. The formula for the lateral surface area of a cylinder is 2πrh, where r is the radius and h is the height.
Given:
Radius (r) = 1.5 inches
Height (h) = 8 inches
Lateral Surface Area = 2π(1.5)(8)
Lateral Surface Area = 24π square inches
Next, we need to find the area of the top and bottom circles. The formula for the area of a circle is πr^2.
Area of the top and bottom circles = 2(π(1.5)^2)
Area of the top and bottom circles = 4.5π square inches
Now, to find the total area of the paper needed to cover the entire surface of the cylindrical pencil case, we add the lateral surface area and the area of the top and bottom circles.
Total area = Lateral Surface Area + Area of the top and bottom circles
Total area = 24π + 4.5π
Total area = 28.5π
Therefore, Jesse will need approximately 28.5π square inches of paper to cover the entire surface of the cylindrical pencil case.
Jesse wants to gift wrap a cylindrical pencil case that has a radius of 1.5
inches and a height of 8
inches.
What is the area of the paper she will need to cover the entire surface?
1 answer
7 answers