Question

The function defined by y = square root r^2 - x^2 has as its graph a semicircle of radius r with center at (0, 0) (as shown in the figure to the right). Find the volume that results when the semicircle y = square root 49 - x^2 is rotated about the x-axis. The volume is cubic units. (Type an exact answer, using pi as needed.)

Answer 1

Step-by-step explan ation:

Yarım Dairenin Hacmi = pi x r 2 x 2r x 1/2
Yarım Dairenin Hacmi =pi x 7 2 x 14 x 1/2
Yarım Dairenin Hacmi = 343pi/2