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Arisa [49]
2 years ago
5

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
Mathematics
1 answer:
sattari [20]2 years ago
5 0

Answer:

V_2= \frac{28}{3} u^3

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:

V_2 =\frac{2}{3}V_1

and

V_1 = 14u^3

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

V_2 =\frac{2}{3}V_1

V_2= \frac{2}{3} * 14u^3

V_2= \frac{2* 14}{3} u^3

V_2= \frac{28}{3} u^3

Hence, the volume of the sphere is \frac{28}{3} u^3

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  • A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

For Rowan, we have that:

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