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Neko [114]
2 years ago
6

PLEASE HELP ME OUT ASAP :(

Mathematics
1 answer:
Tanya [424]2 years ago
7 0

Answer:

Step-by-step explanation:

<h3>Cylinder A:</h3>

   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}

<h3>Cylinder B:</h3>

      \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

<h3>   Volume of cylinder A to volume of cylinder B = 1 : 27</h3>
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