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!!
Matematika
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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!!
A.360π cm³
B.1584π cm³
C.2876π cm³
D.3312π cm³
tolong bantuin yaa pakai cara!!
1 Jawaban
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1. Jawaban ANIsaRafa
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