Question

What is the difference in volume between a cylinder with radius x and height x and a cube with a side of 2x? Let pi = 3.14.

(Volume of cylinder = V =
`\pi`r^2h or V = Bh)

Answer 1

4.86

Explanation:

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Answer 2

The cylinder:

r = x, h = x

substitute:

`V_1=\pi\cdot x^2\cdot x=\pi x^3\approx3.14x^3`

The cube:

V =Bh → V = a²· a = a³

a = 2x

substitute:

`V_2=(2x)^3=2^3x^3=8x^3`

Difference:

`V_2-V_1=8x^3-3.14x^3=4.86x^3`

Answer: 4.86x³