A farmer wants to build a new grain silo. the shape of the silo is to be a cylinder with a hemisphere on top, where the radius of the hemisphere is to be the same length as the radius of the base of the cylinder. the farmer would like the height of the silo's cylinder portion to be 3 times the diameter of the base of the cylinder. what should the radius of the silo be if the silo is to hold 22500pi cubic feet of grain?

Can someone explain how to do this but like dumb it down some?

15 ft

Step-by-step explanation:

The shape of the silo is a cylinder with a hemisphere (half a sphere) on top.  The radius of the hemisphere is the same as the radius of the cylinder.  The height of the cylinder is 3 times its diameter.  Remember that diameter is twice the radius.

Volume of a hemisphere is:

V = ⅔ π r³

Volume of a cylinder is:

V = π r² h

The total volume is therefore:

V = ⅔ π r³ + π r² h

We know that V = 22500π ft³, and h = 3d = 6r.  Plugging this into the equation:

22500π ft³ = ⅔ π r³ + π r² (6r)

22500π ft³ = ⅔ π r³ + 6π r³

Divide both sides by π:

22500 ft³ = ⅔ r³ + 6 r³

Multiply both sides by 3:

67500 ft³ = 2 r³ + 18 r³

Combine like terms:

67500 ft³ = 20 r³

Divide both sides by 20:

3375 ft³ = r³

Take the cube root:

r = 15 ft

The radius of the silo must be 15 feet.

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.

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step-by-step explanation: