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A cone-shaped dispenser is filled with cereal. The cone has a radius of 1.5 inches and a height of 5 inches. Which measurement is closest to the volume of cereal that the cone-shaped dispenser holds?
Possible Answers:
A - 3.75
B - 11.78
C - 141.37
D - 47.12

Respuesta :

calculista

Answer:

Option B. [tex]11.78\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a cone is equal to

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

we have

[tex]r=1.5\ in[/tex]

[tex]h=5\ in[/tex]

substitute

[tex]V=\frac{1}{3} \pi (1.5)^{2}(5)[/tex]

[tex]V=3.75\pi\ in^{3}[/tex]

assume

[tex]\pi =3.14[/tex]

[tex]V=3.75(3.14)=11.78\ in^{3}[/tex]

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