Mermer Bloktan Saksı Yapımı Sorusu
MathematicsCylinder Geometry and VolumeOrtaLGS
Yayınlanma:
Soru
Aşağıdaki mermer blok, silindir şeklindeki bir parçanın çıkarılmasıyla saksı hâline getirilmiştir. Buna göre saksıyı oluşturan mermerin hacmi kaç $cm^3$ olur? ($\pi = 3$) A) 6480 B) 6840 C) 7200 D) 9000
Soruda görsel içerik var: Görselde mermer bir blok bulunmaktadır. Bu blok, dışarıdan silindir şeklinde görünüyor ve üstten bir kısmı oyularak saksı formu verilmiştir. Dış silindirin yüksekliği 30 cm, taban yarıçapı 10 cm olarak gösterilmiştir. İçeride oyulan silindirik boşluğun yüksekliği 20 cm ve taban yarıçapı 6 cm olarak belirtilmiştir. Kesikli çizgiler, silindir içindeki boşluğun sınırlarını göstermektedir.
Animasyonlu Video Çözüm
İlk yarısı ücretsiz izlenebilir, tamamı uygulamada.
Adım Adım Yazılı Çözüm
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Adım 1
Merhaba Lgs26, bu soruda mermer bir bloktan silindir şeklinde bir parça çıkarılarak oluşturulan saksının hacmini bulacağız.
Silindirde Hacim Problemi
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Adım 2
Saksının hacmini hesaplamak için, büyük mermer silindirin hacminden, içinden çıkarılan küçük silindir parçasının hacmini çıkarmamız gerekiyor.
$$V_{saksı} = V_{dış} - V_{iç}$$
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Adım 3
Önce bir silindirin hacim formülünü hatırlayalım. Silindir hacmi, pi çarpı yarıçapın karesi çarpı yükseklik formülüyle bulunur.
$$V = ̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀ጒ = ̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀ጒ = 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= ̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀ጒ = ̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀ጒ = ̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̀̒ \text{ cm}^3$$$
4
Adım 4
Verilen büyük silindirin ölçülerini belirleyelim. Yüksekliği otuz santimetre ve taban yarıçapı on santimetre olarak verilmiş.
Dış Silindir (Mermer Blok)
5
Adım 5
Pi sayısını üç alarak büyük silindirin hacmini hesaplayalım. Üç çarpı on'un karesi çarpı otuz, buradan dokuz bin santimetreküp sonucuna ulaşıyoruz.
$$V_{dış} = 3 · 10^2 · 30$$
$$V_{dış} = 3 · 100 · 30 = 9000 \text{ cm}^3$$
Çözümün devamı Solvi’de
5 adım daha kilitli. Tamamını animasyonlu ve sesli anlatımla ücretsiz izle.
Fotoğrafını çek, her soruyu böyle çöz.
Çözümün Devamını Ücretsiz İzle
İndirmesi ücretsiz · İlk çözümler hediye
100K+Her gün çözülen soru
50K+Öğrenen öğrenci
4.8 ★App Store puanı
