As per the given radius of the cylinder [tex]= 4[/tex] inches and height of the cylinder [tex]= 5[/tex] inches correct statement are
The area of the two bases is [tex]32\pi in^{2}[/tex] .
The lateral area is [tex]40\pi in^{2}[/tex].
The total surface area is [tex]72\pi in^{2}[/tex]
What is area?
" Area is defined as the total space occupied by two dimensional object enclosed in it."
Formula used
Area of the base of the cylinder [tex]= \pi r^{2}[/tex]
Lateral surface area of the cylinder [tex]= 2\pi rh[/tex]
Total surface area of the cylinder [tex]= 2\pi r^{2} + 2\pi rh[/tex]
According to the question,
Given ,
Radius of the cylinder [tex]= 4[/tex] inches
Height of the cylinder [tex]= 5[/tex] inches
Substitute the value in the formula of required area we get,
Area of the base of the cylinder [tex]= \pi \times (4^{2})[/tex]
[tex]= 16\pi in^{2}[/tex]
Area of the two base of the cylinder [tex]= (16\pi + 16\pi ) in^{2}[/tex]
[tex]= 32\pi in^{2}[/tex]
Lateral surface area of the cylinder [tex]= 2\pi \times 4\times 5[/tex]
[tex]= 40\pi in^{2}[/tex]
Total surface area of the cylinder [tex]= 32\pi + 40 \pi[/tex]
[tex]= 72\pi in^{2}[/tex]
Hence, as per the given radius of the cylinder [tex]= 4[/tex] inches and height of the cylinder [tex]= 5[/tex] inches correct statement are
The area of the two bases is [tex]32\pi in^{2}[/tex] .
The lateral area is [tex]40\pi in^{2}[/tex].
The total surface area is [tex]72\pi in^{2}[/tex]
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