To find the capacity of the ice-cream container, we first need to find the volume of the truncated cone.
The formula for the volume of a truncated cone is given by:
V = 1/3 * π * h * (r1^2 + r2^2 + r1 * r2)
where h is the height of the cone, r1 is the radius of the base, and r2 is the radius of the top.
Given:
h = 15cm
r1 = 6.5cm (radius = diameter / 2)
r2 = 7cm
Substitute these values into the formula:
V = 1/3 * π * 15 * (6.5^2 + 7^2 + 6.5 * 7)
V = 1/3 * π * 15 * (42.25 + 49 + 45.5)
V = 1/3 * π * 15 * 136.75
V ≈ 2276.11 cm^3
Finally, convert the volume to mL:
1 cm^3 = 1 mL
Therefore, the capacity of the ice-cream container is approximately 2276 mL.
An ice-cream container is in the shape of a truncated cone. If it's base is 13cm in diameter, it's top is 14cm in diameter and it's height is 15cm find the capacity of the container to the nearest ml
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