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SCORPION-xisa [38]
3 years ago
15

A grain silo is in the shape of a cylinder with a hemisphere top. They cylinder is 20 feet tall. The volume of the silo is 2106

cubic feet. Find the radius of the silo.
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0

Answer:

The radius of the silo is 5.788 feet.

Step-by-step explanation:

Since the silo has the shape of a cylinder, then;

Volume of the silo = Volume of a cylinder = \pir^{2}h

Where: r is the radius of the silo, and h is the height.

Given that: volume = 2106 cubic feet, and height = 20 feet.

Then,

2106 = \frac{22}{7} x r^{2} x 20

2106 = \frac{440}{7}r^{2}

2106 x 7 = 440r^{2}

14742 = 440r^{2}

r^{2} = \frac{14742}{440}

r^{2} = 33.5045

⇒ r = \sqrt{33.5045}

     = 5.78831

r = 5.788 feet

The radius of the silo is 5.788 feet.

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