14. Jean uses a rain barrel to catch water, and then filters it into a jug for use. The rain barrel has a diameter of 12 inches and a height of 18 inches. The jugs height and di…

Question

asked Nov 10, 2024 231k views

1 Answer

Asmodiel · Answer 1 · 2024-11-16T18:16:55+0000

Answer:

14. Jean uses a rain barrel to catch water, and then filters it into a jug for use. The rain

barrel has a diameter of 12 inches and a height of 18 inches. The jugs height and

diameter are both half of the rain barrel's. How many times can the jug be filled up with

one barrel of rain?

a. 24

b. 12

d. 4

Explanation:

V = s · h =
$\pi$ v² h =
$\pi$ ·
((d)/(2))^2 · h .

For rain barrel
d=20 ~~~~~~ h=30

For jug
d^1 = (d)/(2) = 10 ~~~~ h^2 = (h)/(2) = 15.

∴ v =
$\pi$ ·
((d)/(2))^2 · h

=
$\pi$ ·
((20)/(2))^2 · 30

=
$3000\pi$ ≀ v =
$\pi$ ·
((d)/(2))^2 · h

∴ v =
$\pi$ ·
((d^1)/(2))^2 · h¹

=
$\pi$ ·
((10)/(2))^2 · 15

=
$\pi$ · 5² · 15

=
$375\pi$

$\pi$ =
(v)/(v)

$\pi = (v)/(v) = (3000\pi )/(375\pi) = 8.$