9514 1404 393
Answer:
6872 cubic feet
Step-by-step explanation:
The volume of the conical bucket is ...
V = 1/3πr²h
V = 1/3π(15/2 in)²(20 in) = 375π in³
There are 60 minutes in 1 hour, so 3×60 = 180 minutes in 3 hours.
If each of 2 farmers can transfer 28 buckets per minute the total amount transferred is ...
(375π in³)(180 min)(2 farmers)(28/min/farmer) = 3,780,000π in³
There are 1728 in³ in 1 ft³, so this is ...
(3,780,000π/1728) ft³ = 2187.5π ft³, about 6872 cubic feet.
Answer:
sin 15° = 0.2588
Step-by-step explanation:
The half angle formula is:

sin 15°
The double of 15º is 30º. First quadrant, so the sine is positive.

Since 

sin 15° = 0.2588
Since 10/9 is 1.1 repeating, it's closer to 1
This is a right triangle. To find the third side of a right triangle. Use the Pythagorean Theorem.
a^2+b^2=c^2
a and b are the legs, c is the hypotenuse.
a^2+7^2=16^2
a^2+49=256
Subtract 49 from both sides:
a^2=207
Square foot:
a=14.38749457 in.
Round to nearest tenth:
14.4 in