A cylinder shaped bucket is used as a sand container. The bucket has a height of 2. 5 ft and a radius of 0. 5 ft. How many cubic feet of sand does the bucket hold? use 3. 14 to approximate pi. Enter your answer as a decimal rounded to the nearest hundredth in the box.

Respuesta :

Ⲁⲛ⳽ⲱⲉⲅ:

  • 1.96 feet³

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Ⲋⲟⳑⳙⲧⳕⲟⲛ :

We are given that a cylinder shaped bucket is used as a sand container . We have to find how much sand it can hold , which can be found by knowing the volume of cylindrical bucket .The volume of a cylinder is given by :

[tex] \quad\dashrightarrow\quad {\pmb{\sf {Volume = \pi r^2 h }}}[/tex]

where,

  • π = 3.14
  • r = 0.5 feet
  • h = 2.5 feet

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

[tex] \quad\dashrightarrow\quad \sf { V = 3.14 \times 0.5^2 \times 2.5}[/tex]

[tex] \quad\dashrightarrow\quad \sf {V = 3.14\times 0.5\times 0.5\times 2.5 }[/tex]

[tex] \quad\dashrightarrow\quad \sf {V = 1.9625 }[/tex]

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence, the bucket can hold 1.96 feet³ of sand!

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