sebuah drum berbentuk tabung dengan diameter 21 cm dan tinggi 60 cm. Drum diisi air sepertiganya, kemudian kedalam drum dimasukkan besi padat berbentuk tabung dengan diameter 14 cm dan ringgi 40 cm. Berapakah tinggi air sekarang?
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Jawaban:
5,12 cm
Penjelasan dengan langkah-langkah:
volume 2 bola=2×4/3×π×r×r×r
=2×3,14×12×12×12
=14469,12
kenaikan air
v=luas alas×t
14469,12=3,14×30×30×t
14469,12=2826 t
t=5,12
Jawab:
Penjelasan dengan langkah-langkah:
drum1 : r1 = 21/2 ; t1 = 60
drum2 : r2 = 14/2 = 7 ; t2 = 40
Volume drum2 = (22/7) x 7 x 7 x 40
Volume drum2 = 22 x 7 x 40
Volume drum2 = 6.160 cm³
Volume drum1 = (22/7) x (21/2) x (21/2) x 60
Volume drum1 = 11 x 3 x 21 x 30
Volume drum1 = 20.790 cm³
⅓ x Volume drum1 = ⅓ x 20.790 = 6.930
(⅓ x Volume drum1) + Volume drum2 = 6.930 + 6.160
(⅓ x Volume drum1) + Volume drum2 = 13.090
(22/7) x (21/2) x (21/2) x tinggi = 13.090
33 x (21/2) x tinggi = 13.090
(693/2) x tinggi = 13.090
tinggi = 13.090 / (693/2)
tinggi = (13.090 x 2)/693
tinggi = 37.78 cm