Respuesta :
Answer:
volume of empty space = 141.3 cm³
Step-by-step explanation:
volume of empty space = volume of the cylinder - volume of water
First, we need to calculate the volume of the container
volume of a cylinder = πr²h
 where r = radius of the container  and  h is the height of the container
r = 3cm  and h = 12 cm   π is a constant which is ≈ 3.14
volume of a cylinder = πr²h
                 =3.14 × 3²×12
                  =3.14×9×12
                  =339.12 cm³
We will proceed to find the volume of water
since liquid will take the shape of its container,
then volume of water =  πr²h
r is the radius of the container  and   h is the height of the water
r = 3cm   and  h = 7cm   Â
volume of water =  πr²h
               = 3.14 ×3²×7
               =3.14×9×7
               =197.82 cm³
volume of empty space = volume of the cylinder - volume of water
                     =339.12 cm³   -   197.82 cm³
                     = 141.3 cm³
OR
WE CAN SOLVE DIRECTLY
height of empty space = height of container - height of water
                    = 12 - 7
                    =5 cm
volume of empty space = πr²h
                    =3.14×3²×5
                    =3.14×9×5
                     =141.3 cm³
volume of empty space = 141.3 cm³
