A cylinder has a height of 16 inches and a radius of 17 inches. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Respuesta :

Answer:

14519.36 or 14526.72

(Check explanation)

Step-by-step explanation:

V=πr²h

V=(3.14)(17)²(16)

V=(3.14)(289)(16)

V=(3.14)(4624)

V=14519.36

14519.36 rounded to the nearest hundredth is 14519.36

Since we used 3.14 in this method, we do not have a number that can be rounded to the nearest hundredth. However, if we calculate with π, we do have a number that can be rounded to the nearest hundredth.

V=πr²h

V=π(17)²(16)

V=π(289)(16)

V=π(4624)

V=14526.7244302

14526.7244302 rounded to the nearest hundredth is 14526.72

The volume of the cylinder is 14519.36 cubic inches.

Important information:

  • Radius = 17 inches
  • Height = 16 inches

Volume of cylinder:

The volume of cylinder is:

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

Where, [tex]r[/tex] is radius and [tex]h[/tex] is height.

Substitute [tex]r=17,h=16,\pi=3.14[/tex] in the above formula.

[tex]V=(3.14)(17)^2(16)[/tex]

[tex]V=14519.36[/tex]

Therefore, the volume of the cylinder is 14519.36 cubic inches.

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