Matematika

Pertanyaan

diketahui:
Volume tabung= 196,25 cm³
tinggi= 10 cm
ditanyakan:
A.panjang jari jari kerucut
B.luas selimut kerucut
C.luas permukaan kerucut

1 Jawaban


  • [tex]v = \pi {r}^{2} t \\ 196.25= 3.14 \times {r}^{2} \times 10 \\ {r}^{2} = 196.25 \div 31.4 \\ {r}^{2} = 6.25 \\ r = \sqrt{6.25} = 2.5 \: cm[/tex]
    [tex]luas \: selimut \: = 2 \times \pi \times r \times t\\ l = 2 \times 3.14 \times 2.5 \times 10 \\ l = 157 \: {cm}^{2} [/tex]
    [tex]luas \: permukaan \\ l = 2 \times \pi \times r \times (t + r) \\ l = 2 \times 3.14 \times 2.5 \times (10 + 2.5) \\ l = 2 \times 3.14 \times 2.5 \times 12.5 \\ l = 196.25 {cm}^{2} [/tex]

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