Answered

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The volume of a sphere is two-thirds of a cylinder. What is the volume of a cylinder that has the same diameter as a sphere with a volume of 14 u^3, in u^3

Sagot :

MrRoyal

Answer:

[tex]V_2= \frac{28}{3} u^3[/tex]

Step-by-step explanation:

Given

Represent the volume of the cylinder with V1 and the volume of the sphere with V2

So, from the first statement: we have:

[tex]V_2 =\frac{2}{3}V_1[/tex]

and

[tex]V_1 = 14u^3[/tex]

To solve for [tex]V_2[/tex], we simply substitute [tex]14u^3[/tex] for [tex]V_1[/tex] in [tex]V_2 =\frac{2}{3}V_1[/tex]

[tex]V_2 =\frac{2}{3}V_1[/tex]

[tex]V_2= \frac{2}{3} * 14u^3[/tex]

[tex]V_2= \frac{2* 14}{3} u^3[/tex]

[tex]V_2= \frac{28}{3} u^3[/tex]

Hence, the volume of the sphere is [tex]\frac{28}{3} u^3[/tex]

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