Question

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. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?

Answer 1

V=π*(2x^3+35x^2+176x+192)units^3

Explanation:

This is the correct answer, but on certain tests you might have to distribute the pi in the beginning of the statement. When you do this the statement becomes, 2πx^3+35πx^2+176πx+192π

Answer 2

V=π*(2x^3+35x^2+176x+192)units^3

Explanation:

V=πr^2h

r=x+8

h=2x+3

V=π*(x+8)^2*2x+3

=π*(x^2+16x+64)*2x+3

=π*(2x^3+32x^2+128x+3x^2+48x+192)

=π*(2x^3+35x^2+176x+192)

Volume of the cylinder=π*(2x^3+35x^2+176x+192)units^3