An office uses paper drinking cups in the shape of a vine either dimensions as shown to the nearest tenth of a cubic inch what is the volume of each drinking cup

Respuesta :

Answer:

[tex]V=7.91\ \text{inches}^3[/tex]

Step-by-step explanation:

An office uses paper drinking cups in the shape as attached.

The diameter of the cup = 2 3/4 inches

= 11/4 inches

The height of the cup, h = 4 inches

The radius of the cup, r = 1.375 inches   (As r = d/2)

We need to find the volume of the drinking cup. It is in the shape of a cone. The volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Substituting the values of r and h

[tex]V=\dfrac{1}{3}\pi \times (1.375)^2 \times 4\\\\=7.91\ \text{inches}^3[/tex]

Hence, the volume of each drinking cups is [tex]7.91\ \text{inches}^3[/tex].

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