Mathematics, 12.07.2021 21:50 issaaamiaaa15
The volume of a cylinder is given by the formula V=πr^2h, where r is the radius of the cylinder and h is the height. Which expression represents the volume of this cylinder?
h=2x+7
r=x-3
Options:
1: 2πx^3 - 12πx^2 - 24πx + 63π
2: 2πx^3 - 5πx^2 - 24πx + 63π
3: 2πx^3 + 7πx^2 - 18πx - 63π
4: 2πx^3 + 7πx^2 + 18πx + 63π
Images for more detail:
Answers: 2
![\displaystyle V = \pi \left[\underbrace{(x^2-6x+9)}_{(a-b)^2=a^2-2ab+b^2}(2x+7)\right]](/tpl/images/1392/9228/e3149.png)
![V=\pi \left[ 2x(x^2-6x+9)+7(x^2-6x+9)\right]](/tpl/images/1392/9228/69dbd.png)
![V = \pi \left[(2x^3-12x^2+18x)+(7x^2-42x+63)\right]](/tpl/images/1392/9228/6c39c.png)
![V = \pi\left[(2x^3)+(-12x^2+7x^2)+(18x-42x)+(63)\right]](/tpl/images/1392/9228/3fafd.png)
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