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

The lateral area is
`4,608\pi\ in^(2)` or
`32\pi\ ft^(2)`

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)`