Answer:
Step-by-step explanation:
Part A
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
1) radius = diameter/2 = 4/2 = 2 inches
Volume = 3.14 × 2² × 10 = 125.6 inches³
2) Volume = 3.14 × 20² × 50 = 62800 cm³
3) radius = 16/2 = 8 mm
Volume = 3.14 × 8² × 10 = 2009.6 mm³
4) Volume = 3.14 × 9² × 9 = 2289.06 ft³
Part B
The formula for determining the volume of a sphere is expressed as
Volume = 4/3πr³
Where
r represents the radius of the sphere.
5) Volume = 4/3 × 3.14 × 5³ = 523.3 cm³
6) radius = 24/2 = 12 inches
Volume = 4/3 × 3.14 × 12³ = 7234.56 inches³
7) Volume = 4/3 × 3.14 × 1³ = 4.2 ft³
8) radius = 42/2 = 21 mm
Volume = 4/3 × 3.14 × 21³ = 38772.72 mm³
