10
suppose a snow cone has a paper cone that is 8 centimeters deep and has a diameter of 5 centimeters. the flavored ice comes in a spherical scoop with a diameter of 5 centimeters and rests on top of the cone. if all the ice melts into the cone, will the cone overflow? explain.

D

Step-by-step explanation:

We require to calculate the volume (V) of the cone and sphere.

The volume of a cone is calculated as

V = πr²h ( r is the radius and h the height )

Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus

V = π × 2.5² × 8 ≈ 52.36 cm³

The volume of a sphere is calculated as

V = πr³ ( r is the radius )

Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus

V= π × 2.5³ ≈ 65.45 cm³

Since volume of the sphere is greater than the volume of the cone

Thus when the ice cream melts it will overflow → D

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