Answer:
1) 14155.12cm³
2) 12,000cm³
3) 5832cm³
4) 120,528cm³
5) 904.32cm³
Explanation:
1) Space a cylinder occupies when its height is 92cm and diameter is 14cm.
> We have to find the volume of the cylinder
> Volume of cylinder = pi × r² × h
(radius or r of this cylinder is 7cm as radius is the half of diameter hence, 14 ÷ 2 = 7)
(pi = 3.141592653589793238 or 3.14)
Volume of cylinder = pi × r² × h
= 3.14 × 7² × 92
= 3.14 × 49 × 92
= 14155.12 cm³
> The cylinder occupies 14155.12 cm³
2) Volume of a rectangular box/ cuboid = length×width×height
Volume of rectangular box = 32 × 25 × 15
= 12,000cm³
3) Volume if a square box/ cube = length³ or length × length × length
Volume of square box = 18³
= 5,832cm³
4) Volume of a rectangular table / cuboid = l × w × h
Volume of table = 54 × 36 × 62
= 120,528cm³
5) Volume of metal ball/ sphere = 4/3 × pi × r³
(radius of this ball is 6cm)
Volume of ball = 4/3 × 3.14 × 6³
= 4/3 × 3.14 × 216
= 904.32cm³