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:

B

Step-by-step explanation:

We are given a cylinder with a height of (2x + 7) and a radius of (x - 3).

And we want to find the expression for the volume of the cylinder.

Recall that the volume of a cylinder is given by:

Where r is the radius and h is the height.

Substitute:

Expand. We can use the perfect square trinomial pattern:

Distribute:

Distribute:

Rewrite:

Combine like terms:

Distribute:

Hence, our answer is B.

i think the answer is b)

step-by-step explanation:

answer: h

step-by-step explanation: