Answered

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A cylinder has a height of 16 inches and a diameter of 34 inches. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Sagot :

ⲊⲧɑⲅⲊⲏɑᴅⲟᏇ

Ⲁⲛ⳽ⲱⲉⲅ:

  • Volume = 14,519.36 inch³

Ⲋⲟⳑⳙⲧⳕⲟⲛ :

We are given that:

  • Height of cylinder = 16 inches
  • Diameter of cylinder = 34 inches
  • We have to use π = 3.14

Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ:

Since, cylinder has circular ends , it's volume is given by the formula:

[tex] \quad\hookrightarrow\quad {\pmb{\sf { \pi r^2 h }} }[/tex]

Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ:

[tex] \quad :\implies\quad \sf {V = \pi r^2 h }[/tex]

[tex] \quad :\implies \quad \sf { V =\pi\left( \cancel{\dfrac{34}{2}}\right)^2\times 16}[/tex]

[tex] \quad :\implies\quad \sf {V = 3.14 \times (17)^2 \times 16 }[/tex]

[tex] \quad :\implies\quad \sf { V = 3.14\times 289 \times 16}[/tex]

[tex] \quad :\implies \quad{\pmb{ \sf {V = 14,519.36}} }[/tex]

‎ㅤ‎ㅤ‎ ‎ㅤ‎ㅤ‎~Hence, the volume of given cylinder is 14,519.36 cube inches.

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