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umka21 [38]
3 years ago
10

A hemisphere of radius 9 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the cen

ter of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maximum volume.
radius=
height=

Mathematics
1 answer:
ikadub [295]3 years ago
5 0

Answer:

The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.

Step-by-step explanation:

Given that,

Radius = 9

According to figure,

Radius of cylinder = Radius of hemisphere

Center of cylinder base is also center of sphere.

Circular top of cylinder touching the top of hemisphere.

So, Height of cylinder = radius of hemisphere

h = r

h = 9\ unit

Hence, The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.

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Answer: 24 inches.

Step-by-step explanation:

If each section length is 4 inches, then that means that each person will need to eat a sandwich section that is at least 4 inches.

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To calculate the length of the sandwich Riko should order, we should mutliply 6 by 4, because there are 6 people and each person will be eating 4 inches of a sandwich.

6 x 4 = 24.

In conclusion, the smallest sandwich Riko should order is a sandwich that is 24 inches long.

(Quick Note: This is also the smallest sandwich Riko could order, because the text states that each person eats at least 4 inches.)

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Make bottom number same


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