Answer:
The answer is below
Explanation:
1) The volume of the cylinder = πr²h; where h is the height and r is the radius.
The volume of the cone = πr²h/3 = volume of cylinder / 3 = 78 cm³ / 3 = 26 cm³
2) The volume of the square pyramid = a²h/3; where h is the height and a is the side length of the square base.
The volume of the square prism = a²h = volume of the square pyramid * 3 = 36 cm³ * 3 = 108 cm³
3) The volume of the cylinder = πr²h; where h is the height and r is the radius.
The volume of sphere = 4/3(πr³)
but the height of cylinder = diameter of sphere = 2r. Hence r = h/2
Volume of sphere= 4/3(πr² * h/2) = 2/3(πr²h) = 2/3 * volume of cylinder = 2/3 * 198 m³ = 132 m³
4) The volume of sphere = 4/3(πr³)
but the height of cylinder = diameter of sphere = 2r. Hence r = h/2
Volume of sphere= 4/3(πr² * h/2) = 2/3(πr²h)
Volume of cylinder = πr²h = volume of sphere * 3/2 = 67.5 m³ * 3/2 = 101.25 m³
The volume of the square pyramid = a²h/3; where h is the height and a is the side length of the square base.
The volume of the square prism = a²h = volume of the square pyramid * 3 = 45.5 m³ * 3 = 136.5 m³