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SOVA2 [1]
3 years ago
8

The volume of a cylinder is given by the formula V = (pi)r^2h, where r is the radius of the cylinder and h is the height. Suppos

e a cylindrical can has radius (x - 3) and height (2x + 7). Which expression represents the volume of the can?
Mathematics
2 answers:
Y_Kistochka [10]3 years ago
5 0

Answer: The expression that represents the volume of the can (cylinder) is:

V=pi (2x+7) (x-3)^2

V=pi (2x^3-5x^2-24x+63)


Solution:

V=pi r^2 h

Radius of the cylinder: r=(x-3)

Height of the cylinder: h=(2x+7)

Replacing "r" by "(x-3)" and "h" by "(2x+7)" in the formula above:

V= pi (x-3)^2 (2x+7)

V=pi (2x+7) (x-3)^2

V=pi (2x+7) (x^2-2x(3)+3^2)

V=pi (2x+7)(x^2-6x+9)

V=pi ( 2x(x^2)-2x(6x)+2x(9)+7(x^2)-7(6x)+7(9) )

V=pi (2x^3-12x^2+18x+7x^2-42x+63)

V=pi (2x^3-5x^2-24x+63)

Luda [366]3 years ago
3 0
Pi(x-3)^2 *(2x + 7)

= 2pi(x)^3 - 5pi(x)^2 - 24pi(x) + 63pi

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93000000 in standard form
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Call the price of the bike before mark up 'x', then we have:

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3 0
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I need some... help anyone have a clue?
IrinaVladis [17]

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Step-by-step explanation:

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Answer:

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Step by-step explanation:

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8 0
3 years ago
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←
maw [93]

The equation that is represented by the graph below is y = e^x - 4.

<h3>How to illustrate the graph?</h3>

From the graph, it can be seen that the only exponential function n to hat intercept the function at equal to 3 is y = e^x - 4.

Let's equate y to 0.

y = e^x - 4.

e^x - 4 = 0

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In conclusion, the correct option is D.

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