An ice-cream cone has a diameter of 1.5 inches and a height of 4 inches. What is the volume of the ice cream that the cone can hold? Use 3.14 for pi. Enter your answer, as a decimal, in the box. in3

Respuesta :

The volume of the ice cream that the cone can hold is 2.355 in.³.

Volume of a Cone

The volume of a cone given is as,

[tex]V = \dfrac{1}{3}\pi (radius)^2\times (height)[/tex]

General Value of π

The general value of π is given as either [tex]\dfrac{22}{7}[/tex] or [tex]3.\overline{142857}[/tex].

Given to us,

Diameter, d = 1.5 inches,

height, h = 4 inches,

π = 3.14, {already said to use π value as 3.14}

Radius,

[tex]r = \dfrac{diameter}{2} = \dfrac{1.5}{2} = 0.75[/tex]

Now, to calculate the volume of the ice cream that the cone can hold,

Substituting the value in the formula of volume of a cone,

[tex]V = \dfrac{1}{3}\pi (radius)^2\times (height)[/tex]

[tex]V = \dfrac{1}{3}\times 3.14 \times (0.75)^2\times (4)[/tex]

[tex]V = 2.355\ in.^3[/tex]

Hence, the volume of the ice cream that the cone can hold is 2.355 in.³.

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