A silo is in the shape of a cone. The silo is 7 meters tall, and its base has a radius of 1.5 meters. Rice costs 204$ per cubic

Question

3 years ago

14

meter. How much will it cost to fill the silo with rice?

1 answer:

olganol [36] · Answer 1 · 2022-02-25T00:44:19+03:00

Answer:

$3364.65

Step-by-step explanation:

The volume of the cone is given by the formula ...

V = (1/3)πr²h

Filling in the given numbers, we find the volume to be ...

V = (1/3)π(1.5 m)²(7 m) = 5.25π m³ ≈ 16.49336 m³

The cost of the rice will be the product of this volume and the price per cubic meter:

cost = (16.49336 m³)($204/m³) = $3364.65

The cost of the rice necessary to fill the volume is $3364.65.

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<em>Comment on pi</em>

If you use the value 3.14 for pi, the cost comes to $3362.94. A 3-digit value of pi only gives an answer good in its first 3 digits.