A right cylinder has a radius of left parenthesis 2 x plus 3 right parenthesis inches and a height of left parenthesis 6 x plus 1 right parenthesisinches. Which polynomial equals the surface area of the cylinder? Use the formula upper S period upper A period equals 2 pi r h plus 2 pi r squared for the surface area of the cylinder.
(1 point)
Responses
left parenthesis 32 pi x squared plus 64 pi x plus 24 pi right parenthesis inches squared
Image with alt text: left parenthesis 32 pi x squared plus 64 pi x plus 24 pi right parenthesis inches squared
left parenthesis 96 pi x squared plus 64 pi x plus 8 pi right parenthesis inches squared
Image with alt text: left parenthesis 96 pi x squared plus 64 pi x plus 8 pi right parenthesis inches squared
left parenthesis 32 pi x squared plus 52 pi x plus 24 pi right parenthesis inches squared
Image with alt text: left parenthesis 32 pi x squared plus 52 pi x plus 24 pi right parenthesis inches squared
left parenthesis 96 pi x squared plus 52 pi x plus 8 pi right parenthesis inches squared
The correct response is:
left parenthesis 32 pi x squared plus 64 pi x plus 24 pi right parenthesis inches squared