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Jim Juice treats that are in the shape of a cone. The molds he bought are each 3 inches (in.) deep with a diameter of 3 in. What is the approximate volume of juice needed for Jim to make 6 juice treats?

A.169.6 in
B.127.2 in
C.84.8 in
D.42.4 in

Respuesta :

calculista

Answer:

Option D. [tex]42.4\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the cone (juice treats) is equal to

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

we have

[tex]r=3/2=1.5\ in[/tex] ----> the radius is half the diameter

[tex]h=3\ in[/tex]

assume

[tex]\pi=3.14[/tex]

substitute

[tex]V=\frac{1}{3}(3.14)(1.5)^{2}(3)=7.065\ in^{3}[/tex]

Multiply the volume of one juice treats by 6

[tex](6)7.065=42.39=42.4\ in^{3}[/tex]

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