Question

The pillars in front of Mr. Jefferson's home are shaped like cylinders with a height of 24 ft and a radius of 8 in. What is the lateral area of each pillar

Answer 1

Answer:

The lateral area is $4,608\pi\ in^{2}$  or  $32\pi\ ft^{2}$

Step-by-step explanation:

we know that

The lateral area of a cylinder (pillar) is equal to

$LA=2\pi rh$

Remember that

1 ft=12 in

Find the lateral area in square inches

we have

$r=8\ in$

$h=24\ ft$ ----> convert to inches

$h=24*12=288\ in$

substitute the values

$LA=2\pi (8)(288)$

$LA=4,608\pi\ in^{2}$

Find the lateral area in square feet

we have

$h=24\ ft$

$r=8\ in$ -----> convert to feet

$r=8/12=(2/3)\ ft$

substitute the values

$LA=2\pi (2/3)(24)$

$LA=32\pi\ ft^{2}$