Question

The perfume company Scents 4 cents is about to release their latest perfume. The manager ordered 3 different perfume bottles customers can choose from. Approximate the volume of perfume each bottle can carry

Answer 1

Image and dimension of each bottle is attached

Answer:

Cyclinder = 572.56 cm³

Sphere = 381.70 cm³

Cone = 190.86 cm³

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:

`V = (4)/(3) * \pi r^3`

`= (4)/(3) * \pi 4.5^3`

= 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