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?

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:

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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