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zhannawk [14.2K]
3 years ago
6

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

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
8 0

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.

Elza [17]3 years ago
6 0

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

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