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HELP PLEASE

The radius of a snow cone is 2 inches, and the height of the cone is 3 inches. If the diameter of a cylinder bubble gum at the bottom of the cone is 0.5 inches, which of the following can be used to calculate the volume of the cone can can be filled with flavored ice?

HELP PLEASE The radius of a snow cone is 2 inches and the height of the cone is 3 inches If the diameter of a cylinder bubble gum at the bottom of the cone is 0 class=

Respuesta :

the third one is correct

The volume of cone filled with flavored ice is given by 1/3(3.14)(2)²(3) - 4/3 (3.14) (0.25)³ which is equal to 11.90 cubic inches.

What is the volume?

A volume of an object is defined as the amount of space occupied by a three-dimensional figure as measured in cubic units.

Now given that,

radius of a snow cone, rc = 2 inches,

and the height of the cone, hc = 3 inches

hence, volume of snow cone,

Vc = 1/3(π*rc²*hc)

⇒Vc = 1/3(3.14)(2)²(3)

And given diameter of cylinder bubble =  0.5 inches

So, radius of cylinder bubble, rb =  0.25 inches

Hence, volume of cylinder bubble

Vb =  4/3 π rb³

⇒Vb =  4/3 (3.14) (0.25)³

Therefore,the volume of the cone that can can be filled with flavored ice

V =  Vc - Vb

⇒V =  1/3(3.14)(2)²(3) - 4/3 (3.14) (0.25)³

or, V =  (3.14/3)(12 - 0.625)

or, V = (3.14*11.375)/3

or, V = 11.90 cubic inches

Hence,The volume of cone filled with flavored ice is given by 1/3(3.14)(2)²(3) - 4/3 (3.14) (0.25)³ which is equal to 11.90 cubic inches.

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