The radius of the cone is 1.75 inches, and its height is 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice?

=11.155 in³

Step-by-step explanation:

Given dа ta:

Radius = 1.75 inches

Height = 3.5 inches

Diameter = 0.5 inches

To find the volume of a cone we will apply the formula:

Volume of a cone = 1/3 πr²h

Substitute the values:

V = 1/3 * 3.14 * (1.75) ² * 3.5

V=1/3 * 3.14 * (3.0625) * 3.5

V = 33.66/3

V=11.22 in³

Now find the volume of the bubble gum:

Volume of bubble gum = 4/3 π*r³

Substitute the values:

V = 4/3*3.14 * (0.5/2) ³

V=4/3*3.14 (0.25) ³

V=4/3*3.14 (0.015625)

V=0.19625/3

V=0.0654 in³

Now subtract the volume of bubble gum ball from the volume of a cone

=11.22 - 0.0654

=11.155 in³

Thus the closest approximation of the volume of the cone that can be filled with flavored ice is 11.155 in³ ...