Question

PLEASE HELP ME OUT ASAP :(

Answer 1

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 = (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 (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

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