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BabaBlast [244]
2 years ago
13

An oblique cylinder has a radius of 9 centimeters and a volume of 486 cubic centimeters. Use Cavalieri’s Principle to calculate

the height of the solid.
6 meters
5 meters
8 meters
7 meters
Mathematics
1 answer:
kotegsom [21]2 years ago
6 0

Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.

Option A) is the correct answer.

<h3>What is the height of the oblique cylinder?</h3>

From Cavalieri's principle, the volume of an oblique cylinder is expressed as;

V = base area × h

V = πr² × h

Given that;

  • Radius r = 9cm
  • Volume of the oblique cylinder V = 486πcm³
  • Height of the oblique cylinder h = ?

V = πr² × h

486πcm³ = π × ( 9cm )² × h

486πcm³ = π × 81cm² × h

486πcm³ = 81πcm² × h

h = 486πcm³ / 81πcm²

h = 6cm

Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.

Option A) is the correct answer.

Learn more on volume of cylinder here: brainly.com/question/16788902

#SPJ1

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3 0
2 years ago
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Umnica [9.8K]

Answer:

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Step-by-step explanation:

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7 0
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If 2 is a factor of a number, is that number a prime number? <br><br> ___________ explain
Nataliya [291]
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4 0
3 years ago
The sum of three consecutive even numbers is 96. What is the smallest of the three numbers
lidiya [134]
The answer is 30.

First off, the numbers are consecutive even numbers. So, the difference between every consecutive number is 2 (numbers go from even to odd to even to odd...). Since the sum of their numbers is 96, I divided that by 3 to get 32. This gives me the median of the three numbers. To find the smallest number, I simply subtracted 2 from the 32.


This may help:

96/3=32

32 + 32 + 32 = 96
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8 0
3 years ago
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