JJ spray wants to create a new bottle for the products. Their marketing department wants to design appear mid shape bottle with a base that is 8 cm x 15 cm and has an altitude of 22 cm. How much juice for this new bottle hold
To calculate the volume of the bottle, we can use the formula for the volume of a cone, since the bottle has the shape of a cone.
The formula for the volume of a cone is:
V = (1/3) * π * r² * h
Where:
V = Volume
π = Pi (approximately 3.14159)
r = Radius of the base of the cone
h = Altitude of the cone (height)
Given that the base of the bottle has dimensions of 8 cm x 15 cm, we can assume the radius of the base to be half the average of these two dimensions:
r = (8 cm + 15 cm) / 2 = 11.5 cm
Substituting the values into the formula:
V = (1/3) * 3.14159 * (11.5 cm)² * 22 cm
V ≈ 7.711214 * 139.25 * 22 cm³
V ≈ 7.711214 * 3063.5 cm³
V ≈ 23658.057 cm³
Therefore, the new bottle should hold approximately 23658.057 cm³ of juice.