Image and dimension of each bottle is attached
Answer:
Cyclinder = 572.56 cm³
Sphere = 381.70 cm³
Cone = 190.86 cm³
Step-by-step explanation:
Here, the manager ordered for three different shapes, which are: a sphere, cylinder and a cone. We are told to find the volume of each.
For the cylinder:
Given:
Radius, r = 4.5 cm
Height, h = 9 cm
The formula for calculating the volume of a cylinder is:
V = Base * height
Where base = πr²
= π * 4.5² = 63.62
Therefore,
V = 63.62 * 9
V = 572.56 cm³
For sphere:
Given:
Radius, r = 4.5 cm
Formula for volume of a sphere is:
[tex] V = \frac{4}{3} * \pi r^3 [/tex]
[tex] = \frac{4}{3} * \pi 4.5^3 [/tex]
= 381.7 cm³
For cone:
Given:
Radius, r = 4.5 cm
Height, h = 9 cm
The formula for calculating the volume of a cone is:
V = ⅓ * Base * height
Where base = πr²
= π * 4.5² = 63.62
Therefore,
V = ⅓*63.62 * 9
V = 190.86 cm³
Therefore the volume of perfume each bottle can carry is:
Cyclinder = 572.56 cm³
Sphere = 381.7 cm³
Cone = 190.86 cm³
