Answer please

The answer is below

Step-by-step 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

f

step-by-step explanation:

f

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)