62.1k views
4 votes
Unsaved Find the surface area of a conical grain storage tank that has a height of 46 meters and a diameter of 16 meters. Round the answer to the nearest square meter.

1 Answer

4 votes
The formula for the surface area of a cone is
SA= \pi r(r+ √(h^2+r^2) ). Filling in accordingly, we have
SA= \pi (8)(8+ √(46^2+8^2) ) and
SA=8 \pi (8+ √(2116+64)). That will simplify to
SA=8 \pi (8+ √(2180) ) and
SA=8 \pi (8+46.69047). If we LEAVE pi in the answer you would have
437.5 \pi which rounds to
438 \pi. If you multiply pi in, you would have 1375.5 or, rounded, 1376. Of course those labels are all meters squared.
User Binderbound
by
7.5k points