Answer:
The lateral area is [tex]4,608\pi\ in^{2}[/tex] or [tex]32\pi\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The lateral area of a cylinder (pillar) is equal to
[tex]LA=2\pi rh[/tex]
Remember that
1 ft=12 in
Find the lateral area in square inches
we have
[tex]r=8\ in[/tex]
[tex]h=24\ ft[/tex] ----> convert to inches
[tex]h=24*12=288\ in[/tex]
substitute the values
[tex]LA=2\pi (8)(288)[/tex]
[tex]LA=4,608\pi\ in^{2}[/tex]
Find the lateral area in square feet
we have
[tex]h=24\ ft[/tex]
[tex]r=8\ in[/tex] -----> convert to feet
[tex]r=8/12=(2/3)\ ft[/tex]
substitute the values
[tex]LA=2\pi (2/3)(24)[/tex]
[tex]LA=32\pi\ ft^{2}[/tex]
