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⭐Soal :
volume gabungan antara Kerucut, tabung dan setengah bola dgn diameter 10 cm, tinggi tabung 12 cm dan tinggi Kerucut 13 cm adalah....cm³
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✨ Jawaban :✨
volume gabungan adalah 1.805,49 cm^3
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Penjelasan dengan Langkah-langkah :
Rumus Volume Kerucut :
[tex]{ \boxed{v = \frac{1}{3} \times \pi \times r \times \: r \times \: t}}[/tex]
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Rumus Volume tabung
[tex]{ \boxed{v = \pi \times r \times \: r \times \: t}}[/tex]
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Rumus Volume setengah bola :
[tex]{ \boxed{v = \frac{4}{3} \times \pi \times r \times r \times r}}[/tex]
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[tex] {\huge{ \purple{penyelesaian : }}}[/tex]
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diketahui :
Kerucut :
tinggi = 13 cm
diameter = 10 cm
jari jari = d/2 = 10/2
tabung :
tinggi = 12 cm
diameter = 10 cm
jari jari = d/2 = 10/2 = 5 cm
bola :
diameter = 10 cm
jari jari = d/2 = 10/2 = 5 cm
ditanya :
volume gabungan =....cm³
Jawab :
volume kerucut :
[tex]{ \boxed{ v = \frac{1}{3} \times \pi \times r \times r}}[/tex]
[tex]{ \boxed{ \ = \frac{1}{3} \times 3.14 \times 5 \times 5 \times 13}}[/tex]
[tex] { \boxed{ = {340.16 \: cm}^{3} }}[/tex].
Volume tabung :
[tex]{ \boxed{v = \pi \times \: r \times \: r \times \: t}}[/tex]
[tex]{ \boxed{ = 3.14 \times 5 \times 5 \times 12}}[/tex]
[tex]{ \boxed{ = {942 \: cm}^{3}}} [/tex]
volume setengah bola :
[tex]{ \boxed{ v = \frac{ 4} {3} \times \pi \times \: r \times r \times r }}[/tex]
[tex]{ \boxed{ \frac{4}{3} \times3.14 \times 5 \times 5 \times 5}}[/tex]
[tex] { \boxed{= {523.33 \: cm}^{3} }}[/tex]
volume gabungan :
[tex]{ \boxed{v.kerucut +v .tabung + v. \frac{1}{2} \: bola}}[/tex]
[tex]{ \boxed{ {3.4016 \: cm}^{3} + {942 \: cm}^{3} + {523.33 \: cm}^{3} }}[/tex]
[tex]{ \boxed{ = {1.805.49 \: cm}^{3}}} [/tex]
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kesimpulan :
volume gabungan antara Kerucut, tabung dan setengah bola adalah : 1.805,49 cm³
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note : Jawaban sudah terlampir di foto, maaf jika kurang jelas dan maaf jika ada kesalahan dalam jawaban,terima tahu.
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