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Helga [31]
3 years ago
5

The top of a cylinder is sliced off by a plane. Determine volume of the bottom portion of the cylinder.

Mathematics
1 answer:
notka56 [123]3 years ago
8 0

Answer:

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder

Step-by-step explanation:

Here we have the volume of a cylinder given by

Volume of a cylinder = πr²h

Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have

Height of bottom of is then

Height = h - b

Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)

Volume of bottom of cylinder = π·r²·h - π·r²b

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.

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Hey all!
Rainbow [258]

Answer:

  • 65°

Step-by-step explanation:

<u>Use the law of cosines:</u>

  • cos C = (25² + 27² - 28²)/(2*25*27)
  • cos C = 0.4222
  • m∠C = arccos 0.4222
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8 0
3 years ago
Suppose there are signs on the doors to two rooms. The sign on the first door reads "In this room there is a lady, and in the ot
9966 [12]

Answer:

The lady is on the second door

Step-by-step explanation:

we have that

The sign on the first door reads "In this room there is a lady, and in the other one there is a tiger"

The sign on the second door reads "In one of these rooms, there is a lady, and in one of them there is a tiger."

so

The sign on the second door is true

The sign on the first door is true or false

Since one of these signs is true and the other is false, the sign in the first door must be false

therefore

The lady is on the second door

5 0
3 years ago
Please help need help bad
Shkiper50 [21]
Hello! The first thing you want to do is add 4 to both sides, which gives you: 7over9x - 4 + 4 = 24 + 4. Then Simplify: 7over9x = 28. Then you just multiply both sides by the number 9! 9 times 7over9 = 28 times 9. Simplfy again! 7xover7 = 252over7. Simply that fraction, and you get x=36. 

~I hope this helped!

I am, yours most sincerely,
Joshua A. Bunn
6 0
3 years ago
∠1 and ​ ∠2 ​ are vertical angles. ∠2 ​ has a measure of 93°. What is the measure of ​ ∠1 ​? Enter your answer in the box. °
kirza4 [7]
The measure of ∠1 is also <span>93° because vertically opposite angles are equal.</span>
6 0
3 years ago
Read 2 more answers
Round 3,989.23655 to the nearest thousandth
inysia [295]
3,989.237
A thousandth = 1/1000 = 0.001
Round 4th decimal place = 5
5 and over is rounding up and under 5 rounds down so it would be 3,989.237
6 0
3 years ago
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