Explanation
The surface area of a cylinder is given by:
[tex]A=2\pi r\times h+2\pi r^2=2\pi r\times(r+h).[/tex]
Where r is the radius and h is the height of the cylinder.
Cylinder 1
This cylinder has:
• d = 12 cm → r = 12 cm/2 = 6 cm,
,
• h = 8 cm.
Replacing these values in the formula above, we get:
[tex]A_1=2\pi\times6cm\times(6cm+8cm)\cong528\text{ }cm^2.[/tex]
Cylinder 2
This cylinder has:
• d = 8 cm → r = 8 cm/2 = 4 cm,
,
• h = 17 cm.
Replacing these values in the formula above, we get:
[tex]A_2=2\pi\times4cm^\times(4cm+17cm)\cong528\text{ }cm^2.[/tex]
Cylinder 3
This cylinder has:
• r = 2 cm
,
• h = 12 cm.
Replacing these values in the formula above, we get:
[tex]A_3=2\pi\times2cm\times(2cm+12cm)\cong176cm^2.[/tex]
Cylinder 4
This cylinder has:
• r = 7 cm,
,
• h = 5 cm.
Replacing these values in the formula above, we get:
[tex]A_1=2\pi\times7cm\times(7cm+5cm)\cong528\text{ }cm^2.[/tex]
We see that cylinders 1, 2 and 4 have an area of approximately 528 cm².
Answer
Cylinders 1, 2 and 4.
