Answer:
= 2π(3)^2 + 2π(3)(5)
= 2π(9) + 2π(15)
= (18)π + (30)π
= 48π
= 150.8 cm^2
Explanation:
In the formula provided for surface area,
- S.A. is the surface area in square units,
- r is the radius of the circle,
- and h is the height of the cylinder
Filling in first three boxes:
We see from the cylinder that the radius is 3 cm and the height is 5 cm. Now we can plug in 3 for r and h for 5:
2π(3)^2 + 2π(3)(5)
Filling in next two boxes:
We do 3^2 and 3*5:
2π(9) + 2π(15)
Filling in next two boxes:
Now we multiply 2 * 9 and 2 * 15:
18π + 30π
Filling in next box:
Now we add 18π and 30π:
48π
48π is 150.7964474.
Filling in last box:
Now, we round this number to nearest tenth to fill in the last box:
150.8 cm^2
Thus, the surface area of the cylinder is approximately 150.8 cm^2.
I underlined the answers you need to put in the boxes to prevent confusion and I also attached a filled out picture showing you what to write where.