Matematika

Pertanyaan

Jika panjang garis pelukis kerucut 15 cm, volume bangun adalah...
A.360π cm³
B.1584π cm³
C.2876π cm³
D.3312π cm³

tolong bantuin yaa pakai cara!!
Jika panjang garis pelukis kerucut 15 cm, volume bangun adalah... A.360π cm³ B.1584π cm³ C.2876π cm³ D.3312π cm³ tolong bantuin yaa pakai cara!!

1 Jawaban

  • r = 1/2 × d
    r = 1/2 × 24
    r = 12 cm

    t = √(s² - r²)
    t = √(15² - 12²)
    t = √(225 - 144)
    t = √81
    t = 9 cm

    Volume kerucut = 1/3 × π × r² × t
    = 1/3 × π × 12² × 9
    = 1/3 × π × 144 × 9
    = 1/3 × π × 1296
    = 432π cm³

    Volume setengah bola = 2/3 × π × r³
    = 2/3 × π × 12³
    = 2/3 × π × 1728
    = 1.152π cm³

    Volume bangun = Volume kerucut + volume 1/2 bola
    = 432π + 1.152π
    = 1.584π cm³

    Jawabannya B