ma4rciliboo
contestada

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

Respuesta :

calculista

we know that

volume of the cylinder =[tex] \pi *r^{2} *h [/tex]

in this problem

[tex] diameter=14 units\\\\ r=\frac{14}{2} \\\\ r=7 units [/tex]


Volume=[tex] 1,176\pi [/tex]units³

solve for h

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

therefore


the answer is

the height of the cylinder is [tex] 24 units [/tex]

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

#SPJ2

Otras preguntas

Q&A Education