Question

PLEASE HELP ME OUT ASAP :(

Answer 1

Answer:

Step-by-step explanation:

Cylinder A:

   r = 3 cm

Volume = 27π cm³

                       $\sf \boxed{\text{Volume of cylinder= \pi r^2h }}$

$\sf \pi*3*3*h = 27 \pi$

              $h = \dfrac{27 \pi}{\pi * 3 * 3}\\\\ \boxed{\bf h = 3 \ cm}$

Cylinder B:

      $\sf \r_A : r_B = 3 : 9$$\sf r_A : r_B = 3 : 9$

                 = 1 : 3

      $\sf h_A : h_B = 1 : 3$

            $\sf \dfrac{3}{h_B}=\dfrac{1}{3}\\\\ cross \ multiply,\\\\ 3*3 = 1*h_B\\\\ h_B = 9 \ cm$

Volume of cylinder B = π * 9 * 9 * 9

                                    = 729π cm³

       $\sf V_A : V_B = 27 \pi :729 \pi$

                    = 1 : 27

  Volume of cylinder A to volume of cylinder B = 1 : 27