1 Answer

Hari K T · Answer 1 · 2023-07-15T02:59:11+0000

Answer:

Explanation:

r = 3 cm

Volume = 27π cm³

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

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

$h = (27 \pi)/(\pi * 3 * 3)\\\\ \boxed{\bf h = 3 \ cm}$

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

= 1 : 3

$\sf h_A : h_B = 1 : 3\\$

$\sf (3)/(h_B)=(1)/(3)\\\\ cross \ multiply,\\\\ 3*3 = 1*h_B\\\\ h_B = 9 \ cm$

Volume of cylinder B = π * 9 * 9 * 9

= 729π cm³

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

= 1 : 27

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