Question

Sebuah Tabung memiliki perbandingan r : t = 2 : 3. Jika luas permukaan tabung 500π cm² maka tinggi tabung tersebut adalah . . . cm.
A. 9
B. 10,5
C. 12
D. 15

Dijawab pake cara ya

Answer 1

Verified answer

Tabung
r : t = 2 : 3
r = (2/3)t
Lpt = 500phi

Lpt = (2 × phi × r^2) + (2 × phi × r × t)
500phi = 2 × phi × r × (r + t)
500phi/2phi = r × (r + t)
250 = (2/3)t × ((2/3)t + t)
250 = (2/3)t × ((2/3 + 3/3)t)
250 = (2/3)t × (5/3)t
250 = (10/9) × t^2
t^2 = 250/(10/9)
t^2 = 250 × 9/10
t^2 = 225
t = V225
t = 15 cm (D)