What amount of ice cream in litres can fit into a waffle cone with a diameter of 10 cm and a height of 15 cm? (Imagine the ice cream fills the cone right to the top, and does not go above the edge of the cone.)
0.47 L
0.43 L
0.39 L
0.31 L
The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
Given:
Diameter of the cone = 10 cm
Radius (r) = diameter/2 = 10/2 = 5 cm
Height (h) = 15 cm
V = (1/3)π(5²)(15)
V ≈ 392.7 cm³
To convert cm³ to liters, divide by 1000 (since 1 L = 1000 cm³):
V ≈ 392.7 cm³ ÷ 1000
V ≈ 0.3927 L
Therefore, the amount of ice cream that can fit into the waffle cone is approximately 0.39 L.