Question

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.

Answer 1

Ⲁⲛ⳽ⲱⲉⲅ:

• 1.96 feet³

`\quad\rule{300pt}{1pt}\quad`

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 :

`\quad\dashrightarrow\quad {\pmb{\sf {Volume = \pi r^2 h }}}`

where,

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

`\quad\dashrightarrow\quad \sf {V =\pi r^2 h }`

`\quad\dashrightarrow\quad \sf { V = 3.14 * 0.5^2 * 2.5}`

`\quad\dashrightarrow\quad \sf {V = 3.14* 0.5* 0.5* 2.5 }`

`\quad\dashrightarrow\quad \sf {V = 1.9625 }`

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

`\rule{350pt}{2pt}`