A snow cone cup at the County Fair is 15 cm tall and has a diameter of 8 cm. If the cup is filled just to th

A snow cone cup at the County Fair is 15 cm tall and has a diameter of 8 cm. If the cup is filled just to the top, what is the volume of the cup? Use 3.14 for π and round to the nearest whole cubic centimeter.




Respuesta :

Answer:

The volume of the cup is of 251 cubic centimeters.

Step-by-step explanation:

The volume of a cone is given by the following equation:

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

In which h is the height and r is the radius(half the diameter).

In this question:

Diameter of 8 cm, so [tex]r = \frac{8}{2} = 4[/tex]

Height of 15 c, so [tex]h = 15[/tex]

The dimensions are in centimeters, so the volume will be in cubic centimeters.

Volume:

[tex]V = \frac{15*\pi*(4)^{2}}{3} = 251.3[/tex]

Rounding to the nearest whole cubic centimeter.

The volume of the cup is of 251 cubic centimeters.

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