Find the lateral area of a conical grain storage tank that has a height of 30 meters, a diameter of 20 meters, and a slant height of 32 meters. Round the answer to the nearest square meter.
a.
3,267 m2
b.
1,319 m2
c.
2,325 m2
d.
1,005 m2

Question

Find the lateral area of a conical grain storage tank that has a height of 30 meters, a diameter of 20 meters, and a slant height of 32 meters. Round the answer to the nearest square meter.
a.
3,267 m2
b.
1,319 m2
c.
2,325 m2
d.
1,005 m2

anonymous · Answer

Think of the lateral area as a triangle with height of 32, and a base the same as the circumference of the cone at its base.  My calculation for that is 20 pi.  So the area of the triangle will be $$A=\frac{bh}{2}=\frac{20 \pi*32}{2}=320 \pi \approx 1005$$