ma4rciliboo
Answered

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units.




What is x, the height of the cylinder?


21 units

24 units

25 units

28 units

Verified Answer :

calculista

we know that

volume of the cylinder =\(\pi *r^{2} *h\)

in this problem

\(diameter=14 units\\\\ r=\frac{14}{2} \\\\ r=7 units\)


Volume=\(1,176\pi\)units³

solve for h

\(h=V/(\pi *r^{2} )\\ h=1,176\pi /(\pi *7^{2} )\\ h=24 units\)

therefore


the answer is

the height of the cylinder is \(24 units\)

asuwafohjames

The value of x, the height of the oblique cylinder is 21 units.

What is an Oblique cylinder?

Is a cylinder whose side is slanted instead of perpendicular to its bases

To calculate the height of the oblique cylinder, we use the formula below.

Formula:

  • V = πr²h........... Equation 1

Where:

  • V = Volume of the oblique cylinder
  • h = Height of the oblique cylinder
  • r = Radius of the  oblique cylinder

Make h the subject of equation above

  • h = V/πr²............. Equation 2

Given:

  • V = 1176π cubic units
  • r = 14/2 = 7 unit
  • h = x unit

Substitute these values into equation 2

  • x = 1176π/(π×7²)
  • x = 1176/49
  • x = 21.06 units
  • x ≈ 21 units

Hence, the value of x, the height of the oblique cylinder is 21 units.

Learn more about oblique cylinder here: https://brainly.com/question/3986390

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