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

1 answer

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.