Option D
[tex]A=2 \pi\left(4^{2}\right)+2 \pi(4)(9)[/tex] is the formula needed to find surface area of can
Solution:
Given that a can of paint in the shape of cylinder has radius of 4 inches and height of 9 inches
To find: formula needed to find the surface area of can
The surface area of cylinder when radius and height are given as:
[tex]A=2 \pi r h+2 \pi r^{2}[/tex]
Where "r" is the radius and "h" is the height
Substituting the given values of r = 4 and h = 9 we get,
[tex]A=2 \pi \times 4 \times 9+2 \pi \times 4^{2}[/tex]
[tex]A=2 \pi\left(4^{2}\right)+2 \pi(4)(9)[/tex]
Thus option D is correct
