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VladimirAG [237]
3 years ago
7

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
Mathematics
1 answer:
kkurt [141]3 years ago
4 0

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

<em>Find the lateral area in square inches</em>

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}

<em>Find the lateral area in square feet</em>

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}

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