Ralph owns the farmer’s silo shown. The silo is a cylinder with a half-sphere as the roof. He wants to fill it up with corn for the pigs. If it costs $1.13 per cubic meter to purchase the corn, how much will it cost to fill up the whole silo?
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Answer:
Half-Sphere Volume = [( π •diam³) / 6] / 2
Cylinder Volume = ¼ • π • diam² • height
Cylinder height = 19 meters
Sphere diameter = 10 meters
Cylinder portion = ¼ • π • diam² • height
Cylinder portion volume = ¼ • π • 10² • 19
Cylinder portion volume = 1,492.26
Half-Sphere Volume = [( PI * 10^3) /6 ] / 2
Half-Sphere Volume = 261.80
Total Volume = 1,492.26 + 261.80 = 1,754.06 cubic meters
corn is $1.13 per cubic meter
total cost = 1,754.06 * $1.13 = 1,982.08
Answer is C 1,981.08
Step-by-step explanation: