Answer:
1036.2 sq.feet
Step-by-step explanation:
[ The lateral surface area of an object is the area that consists only of the area of the sides or the object, and not the top or bottom. Bsically lateral surface area or LSA of an object is the total surface area, but excluding the area taken by top and bottom.]
Given,
LSA of cone = 329.7 sq.feet
slant height (l) = 7 feet
As we know,
LSA of cone = πrl
329.7 = 3.14 x r x 7
329.7 = 21.98 x r
r = 329.7 / 21.98 [ multiplying them by 100 to make calculation easier]
r = 32970 / 2198
r = 15
TSA of cone = πr(l + r)
= 3.14 x 15 (7 + 15)
= 3.14 x 15 (22)
= 3.14 x 330
= 1036.2 sq.feet
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