Respuesta :

Hrishii

Step-by-step explanation:

  • (i) For cuboid shaped container:

  • [tex]l = 3a\: cm,\: b = 3a\:cm,\: h = x\:cm[/tex] (Given)

  • Container is filled with water so the volume of water can be given by the following formula:

  • [tex]V_{water} = lbh[/tex]

  • Plugging the values of l, b and h in the above formula, we find:

  • [tex]V_{water} = (3a)(3a)(x)[/tex]

  • [tex]\huge{\red{\boxed{V_{water} = 9a^2x\:cm^3}}}[/tex]

  • (ii) For solid right circular cylinder:

  • radius (r) = a cm, h = a cm

  • Formula for volume of cylinder is given as:

  • [tex]V_{cylinder} =\pi r^2 h[/tex]

  • [tex]V_{cylinder} =\pi (a)^2 (a)[/tex]

  • [tex]\huge{\purple{\boxed{V_{cylinder} =\pi a^3 \:cm^3}}}[/tex]