contestada

The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16π centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters?

Respuesta :

calculista

Answer:

1,005 cubic centimeters

Step-by-step explanation:

step 1

Find the radius of the base of cylinder

The circumference is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=16\pi\ cm[/tex]

so

[tex]16\pi=2\pi r[/tex]

solve for r

[tex]r=8\ cm[/tex]

step 2

Find the volume

we know that

The volume of a cylinder is equal to

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

we have

[tex]r=8\ cm\\h=5\ cm[/tex]

substitute

[tex]V=\pi (8)^{2}(5)[/tex]

[tex]V=320\pi\ cm^3[/tex] ----> exact value

Assume

[tex]\pi =3.14[/tex]

substitute

[tex]V=320(3.14)=1,004.8\ cm^3[/tex]

so

The approximate value is  [tex]1,005\ cm^3[/tex]

abidemiokin

The volume of the cylinder in cubic centimeters is 251.2 cm^3

The volume of a cylinder is expressed as:

  • V = πr²h
  • V = base area * height

GIven the following

Base area =  16π centimeters

Height = 5cm

Substitute into the formula to have:

V = 16(3.14) * 5

V = 251.2 cm^3

Hence the volume of the cylinder in cubic centimeters is 251.2 cm^3

Learn more on cylinders here: https://brainly.com/question/21067083

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