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QveST [7]
3 years ago
14

A storage container is a cylinder with a height of 28.2 cm and a radius of 5 cm. How many liters of water will the storage conta

iner hold if 1 liter = 1000 cm^3
Mathematics
1 answer:
solong [7]3 years ago
7 0

Answer:

Then the storage of the cylinder will hold 2.216 liters

Step-by-step explanation:

The formula for calculating the volume of the cylinder is;

V=πr²h

where;

V=volume of the cylinder

π=pi

r=radius of the cylinder

h=height of the cylinder

In our case;

V=unknown

π=22/7

r=5 cm

h=28.2 cm

replacing;

V=π×5²×28.2=2,215.714 cm³

Volume of the cylinder=2,215.714 cm³

If 1 liter=1,000 cm³

Then the storage of the cylinder in liters=2,215.714/1000=2.216 liters

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Answer:

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Step-by-step explanation:

Given:

- Mirror 1: D_1 = 8''

- Mirror 2: D_2 = 6"

Find:

Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering power?

Solution:

- The light gathering power of a mirror (LGP) is proportional to the Area of the objects:

                                           LGP ∝ A

- Whereas, Area is proportional to the squared of the diameter i.e an area of a circle:

                                           A ∝ D^2

- Hence,                              LGP ∝ D^2

- Now compare the two diameters given:

                                           LGP_1 ∝ (D_1)^2

                                           LGP ∝ (D_2)^2

- Take a ratio of both:

                           LGP_1/LGP_2 ∝ (D_1)^2 / (D_2)^2

- Plug in the values:

                               LGP_1/LGP_2 ∝ (8)^2 / (6)^2

- Compute:             LGP_1/LGP_2 ∝ 16/9 ≅ 1.778 times more

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Step-by-step explanation:

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Step-by-step explanation:

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