Question

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

Answer 1

Answer:

A. 126pi cm^3

Step-by-step 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.

$r=\frac{d}{2}$

The diameter of the cylinder is 6 cm.

$r=\frac{6cm}{2}$

$r= 3cm$

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

Answer:

a. 126 pie cm^3

Step-by-step 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