# What is the surface area of a conical grain storage tank that has a height of 43 meters and a diameter of 14 meters? Round the answer to the nearest square meter. A. 1,100 square meters B. 1,112 square meters C. 2,507 square meters D. 2,605 square meters

2 months ago

## Solution 1

Guest #598
2 months ago
We know that
[surface area of the cone]=pi*r²+pi*r*l
where
l is the slant height
l²=h²+r²
h=43 m
r=14/2---> 7 m
l²=43²+7²----> l²=1898--------> l=43.57 m
[surface area of the cone]=pi*7²+pi*7*43.57----> 1111.53 m²----> 1112 m²

B. 1,112 square meters

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