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The base of a 6-inch long ice cream cone with a diameter of 2 inches, is cut 0.25 inches from the base. This cut creates two shapes, one is a cone, and the other one resembles a cylinder since it was cut so close to the base. What is the BEST estimate for the volume of the shape that resembles a cylinder? A) 0.26 cubic inches B) 0.52 cubic inches C) 0.79 cubic inches D) 2.66 cubic inches

Respuesta :

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Length of ice cream cone = 6 inch

Diameter of cone = 2 inches

Radius of cone is given by

[tex]\frac{2}{2}=1\ in.[/tex]

But according to question, it is cut 0.25 inches from the base  and this cut into cylinder and cone.

Since it was cut so close to the base.

So, Height of the cylinder = 0.25 inches

As we know the  formula for "Volume of cylinder ":

[tex]Volume=\pi r^2h\\\\Volume=\frac{22}{7}\times 1\times 1\times 0.25\\\\Volume=0.785\ in^3\\\\Volume=0.79\ in^3[/tex]

Hence, Option 'C' is correct.

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