Matematika

Pertanyaan

diketahui luas alas kerucut 49 phi cm kuadrat. luas permukaan 224 phi cm kuadrat. Volume kerucut adalah
A. 1232 cm kubik
B. 1322 cm kubik
C. 2644 cm kubik
D. 3696 cm kubik

2 Jawaban

  • la =49π , lp = 224π
    v=?
    la=  π r²
    49π=π r²
    49 = r²
    r=7
    lp =πr(s+r)
    224π = π 7(s+7)
    224=7s+49
    7s= 224-49
    7s=175
    s= 175/7
    s= 25
    t²= s²-r²
    t²=25²-7²
    t²= 625-49
    t²= 576
    t=24
    v= 1/3 πr²t
    v= 1/3 22/7 *7*7*24
    v=25872/21
    v=1232


  • [tex]la = 49\pi \\ lp = 224\pi \\ \\ la = \pi {r}^{2} \\ 49\pi = \pi {r}^{2} \\ r = 7 \\ \\ lp = \pi \times r(r + s) \\ 224\pi = 7\pi(7 + s) \\ 32 = 7 + s \\ s = 25 \\ \\ t = \sqrt{ {s}^{2} - {r}^{2} } \\ t = \sqrt{ {25}^{2} - {7}^{2} } \\ t = 24 \\ \\ v = la \times t \\ v = 49\pi \times 24 \\ v = 49 \times \frac{22}{7} \times 24 \\ v = 3696[/tex]jwbnnya D

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