Respuesta :
The volume of the new pyramid is given by:
[tex]V = 343x[/tex]
The volume of a pyramid of radius r and height h is given by:
[tex]V = \frac{\pi r^2h}{3}[/tex]
Initially, we suppose that the volume is x, that is:
[tex]V = \frac{\pi r^2h}{3} = x[/tex]
Then, dimensions are multiplied by 7, that is, [tex]r = 7r[/tex] and [tex]h = 7h[/tex], thus:
[tex]V = \frac{\pi (7r)^2(7h)}{3}[/tex]
[tex]V = 343\frac{\pi r^2h}{3}[/tex]
[tex]V = 343x[/tex]
A similar problem is given at https://brainly.com/question/21334693
