A cylinder and its dimensions are shown. One equation for calculating the volume of a cylinder is V = Bh , where B represents the area of the base of the cylinder. Which expression can be used to find the value of B, in square inches, for this cylinder?

A) π(8.3)2

B) 2Ď€(8.3)

C) π(11.1)2

D) 2Ď€(11.1)

A cylinder and its dimensions are shown One equation for calculating the volume of a cylinder is V Bh where B represents the area of the base of the cylinder Wh class=

Respuesta :

Answer:

Step-by-step explanation:

To break down the volume even more, the base of a cylinder is pi(r)^2

Instead of V=Bh use V=pi(r)^2h (it's broken down more so it's easier to understand)

So just plug in the values to make B:

B=pi(r)^2

B= pi(8.3)^2

The value of B in square inches is [tex]B = \pi(8.3)^2\cdot 11.1\\[/tex]

The formula for calculating the volume of a cylinder is expressed as:

[tex]V = \pi r^2 h\\[/tex]

V = Bh

B = V/h

  • r is the base radius of the cylinder = 8.3in
  • h is the height of the cylinder = 11.1in

B is the base radius = [tex]\pi r^2[/tex]

Substitute the given parameters into the formula for the base area:

[tex]B = \pi(8.3)^2\cdot 11.1\\[/tex]

Hence the value of B in square inches is [tex]B = \pi(8.3)^2\cdot 11.1\\[/tex]

Learn more on volume of cylinder here: https://brainly.com/question/12748872