Question

Multiple choice
a. 126 pie cm^3
b. 84 pie cm^3
c. 504 pie cm*3

Answer 1

A. 126pi cm^3

Explanation:

The volume of a cylinder can be found using the following formula.

`v=\pi r^2 h`

First, we must find the radius. The radius is half of the diameter.

`r=(d)/(2)`

The diameter of the cylinder is 6 cm.

`r=(6cm)/(2)`

`r= 3cm`

The radius is 3 cm.

Now, we can substitute values into the formula.

`v=\pi r^2 h`

`r= 3cm\\h=14 cm`

`v=\pi (3cm)^2*14 cm`

Evaluate the exponent.

`(3cm)^2=3cm*3cm=9cm^2`

`v=\pi*9cm^2*14cm`

Multiply 9 cm^2 and 14 cm

`9 cm^2*14cm=126cm^3`

`v=\pi*126cm^3`

The answer choices are in terms of pi, so we can simply rearrange our answer:

`v=126\pi cm^3`

The volume of the cylinder is 126pi cubic centimeters and A is the correct answer.

Answer 2

a. 126 pie cm^3

Explanation:

Area of a circle = pi*r²

Volume = area*height

(pi*r²)*14

Since your answers are with Pi omit the Pi and times 3² * 14 = 126 pie cm³