Question

Which expression could be used to calculate the volume of the new can?

Answer 1

C

Explanation:

Volume for a cylinder is V= (pi)(r^2)(h)

r being radius, h being height.

The radius is 2x+1, so square that

(2x+1)^2 = 4x^2 + 4x + 1

Then multiply by 6x, the height

(4x^2 + 4x + 1)(6x) = 24x^3 + 24x^2 + 6x

Then multiply each term pi, which would be answer C.

Answer 2

C.

Explanation:

pi(r)^2

pi(2x+1)^2

6x(4pix^2+4pix+1pi)

24pix^3+24pix^2+6pix