Question

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) 2π(8.3)

C) π(11.1)2

D) 2π(11.1)

Answer 1

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

Answer 2

The value of B in square inches is $B = \pi(8.3)^2\cdot 11.1$

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

$V = \pi r^2 h$

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 = $\pi r^2$

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

$B = \pi(8.3)^2\cdot 11.1$

Hence the value of B in square inches is $B = \pi(8.3)^2\cdot 11.1$

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