[tex] \quad\rule{300pt}{1pt}\quad[/tex]
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,
[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!
[tex]\rule{350pt}{2pt} [/tex]