Answer:
[tex]CSA = 660cm^2[/tex] --- Curved Surface Area
[tex]TSA = 968cm^2[/tex] --- Total Surface Area
Step-by-step explanation:
Given
Shape: Cylinder
[tex]h = 15[/tex] -- height
[tex]r = 7[/tex] --- radius
Solving (a): The curved surface area (CSA)
This is calculated as:
[tex]CSA = 2\pi rh[/tex]
This gives:
[tex]CSA = 2 * \frac{22}{7} * 7 * 15[/tex]
[tex]CSA = 2 * 22* 15[/tex]
[tex]CSA = 660cm^2[/tex]
Solving (b): The total surface area (TSA)
This is calculated as:
[tex]TSA = 2\pi r(h + r)[/tex]
This gives:
[tex]TSA = 2 * \frac{22}{7} * 7 * (15 + 7)[/tex]
[tex]TSA = 2 * 22 * (15 + 7)[/tex]
[tex]TSA = 2 * 22 * 22[/tex]
[tex]TSA = 968cm^2[/tex]
