Question

Calcula x si el área total =54

Answer 1

Respuesta:

 $x = 3$

Explicación paso a paso:

$Altura: h = 2x$

$Radio: r = \frac{2x}{2} , entonces$  $r = x$

$Area$ $total : At = 54\pi$

$A t = 2\pi rh + 2\pi r^{2}$

$54\pi = 2\pi (x)(2x ) + 2( \pi ) ( x^{2} )$

$54\pi = 4\pi x^{2} + 2\pi x^{2}$

$54\pi = 6\pi x^{2}$

$\frac{54\pi }{6\pi } = x^{2}$

$9 = x^{2}$

$x^{2} = 9$

$x = \sqrt{9}$

$x = 3$