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ra1l [238]
3 years ago
13

The inside of a beaker is shaped like a circular cylinder with a base diameter of 121212 centimeters (\text{cm})(cm)(, start tex

t, c, m, end text, ). Water in the beaker is filled to a height of 8\,\text{cm}8cm8, start text, c, m, end text above the base. A stainless steel sphere with a diameter of 6\,\text{cm}6cm6, start text, c, m, end text submerged in the liquid displaces an equal volume of water. How high above the base of the beaker is the new water level, in centimeters
Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer:

9 cm

Step-by-step explanation:

Since the container is a cylinder of base diameter d₁ = 12 cm and thus radius r = 12/2 = 6 cm. The water height is 8 cm. The initial volume of water is thus V₁ = πr²h = π × 6² × 8 = 288π cm³.

The sphere of diameter d = 6 cm has radius r₁ = 6/2 = 3 cm. Its volume V₂ = 4πr³/3 = 4π × 3³/3 = 36π cm³

Since the sphere displaces it own volume of liquid, the new volume V = V₁ + V₂ = 288π cm³ + 36π cm³ = 324π cm³

This is the new volume of water in the cylinder. Since the water level rises by h' cm and V = πr²h'

h' = V/πr²

= 324π cm³/π(6)²

= 324π cm³/36π cm²

= 9 cm

So, the water level is 9 cm above the base

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Answer:

the y-value of the vertex = 1,125

Step-by-step explanation:

The table is as shown at the attached figure.

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4 years ago
What is the size of the picture reducing it by 1/25 original size 75 by 50
Svetradugi [14.3K]
50/1 * 1/25 = 50/25 = 2

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5 0
4 years ago
Colton earns $35 per lawn he mows. In kne day he mows four lawns and he works five days a week for 20 weeks a year. His expenses
yanalaym [24]

Answer:

1) Consider that he makes $1189 every two weeks engaged with work

2) An estimate of the opportunity cost of going on the fishing trip is $1450 in two weeks

3). If he decides to buy the truck, he has to work for about 7 weeks before going on the fishing trip

Step-by-step explanation:

From the given data

Total revenue from lawn mowing per year = 35 × 4× 5×20 = $1400

Similarly total operating costs = $2110

Total profit per annum = $11890

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2) Opportunity cost will factor in the cost of having someone work for him while away

The cost is = $250 + $120/day

Hence in two weeks it will cost him $1450

3) He has to work for about 7 weeks to be able to afford the truck

7 0
3 years ago
Please help me out you guys
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Answer:

okok I willl hel0 you out

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3 years ago
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4 years ago
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