Matematika

Pertanyaan

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2 Jawaban

  • Misalkan:
    volume kerucut awal : V1
    volume kerucut setelah diperbesar : V2
    diameter kerucut awal : d1
    diameter kerucut diperbesar 3 kali : d2
    tinggi kerucut awal : t1
    tinggi kerucut diperbesar 2 kali : t2

    Maka, didapat perbandingan:

    V1/V2 = (1/3*1/4*π*d1*d1*t1) : (1/3*1/4*π*d2*d2*t2

    27/V2 = (d1*d1*t1) / (d2*d2*t2)
    27/V2 = (d1^2*t1) / (2d1*2d1*3t1)
    27/V2 = (d1^2*t1) / (4d1^2*3t1)
    27/V2 = (d1^2*t1) / (12*d1^2*t1)
    27/V2 = 1 / 12
    V2 = 27 * 12
    V2 = 324

    Maka, volume kerucut tersebut adalah 324 cm^3 (B).
  • v = 1/3πdt
       = 1/3π x 2d x 3t
       = 6 x 1/3πdt
       = 6 x 27 
       = 162