[tex]volume \: tabung + kerucut \\ \pi \times r \times r(tt + \frac{1}{3}tk) \\ \frac{22}{7} \times 7 \times 7(12 + \frac{1}{3}.6) \\ 154 + (12 + 2) \\ 154(14) \\ 2.156 \: {cm}^{3} \: ( \: c \: ) [/tex]
Penjelasan dengan langkah-langkah:
diketahui :
- d = 14 cm
- r = [tex]\frac{14}{2}[/tex] = 7 cm
- tinggi tabung = 12 cm
- tinggi kerucut = 18 - 12 = 6 cm
ditanya : volume seluruh bangun gabungan
jawab :
V kerucut = [tex]\frac{1}{3}[/tex] × π × r² × t
= [tex]\frac{1}{3}[/tex] × [tex]\frac{22}{7}[/tex] × 7 × 7 × 6
= 22 × 7 × 2
= 154 × 2
= 308 cm³
V tabung = π × r² × t
= [tex]\frac{22}{7}[/tex] × 7 × 7 × 12
= 22 × 7 × 12
= 154 × 12
= 1.848 cm³
V seluruh bangun gabungan = V kerucut + V tabung
= 308 + 1.848
= 2.156 cm³ (C)
⇒ Semoga bermanfaat