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Question 38 (iii) (B) Find the total capacity of one silo to store grains.Total capacity of silo is total volume Now, Total capacity = Volume of cone + Volume of Cylinder = 1/3 𝜋 (𝑅𝑎𝑑𝑖𝑢𝑠 𝑜𝑓 𝑐𝑜𝑛𝑒)^2 × 𝐻𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑐𝑜𝑛𝑒 + 𝜋(𝑅𝑎𝑑𝑖𝑢𝑠 𝑜𝑓 𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟)^2 × 𝐻𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 = 𝟏/𝟑 𝝅 × (𝟏.𝟓)^𝟐 × 𝟐+𝝅 × (𝟏.𝟓)^𝟐 × 𝟕 = 𝜋 × (1.5)^2 [1/3× 2+7] = 22/7× (3/2)^2 [(2 + 7 × 3)/3] = 22/7× (3/2)^2 [(2 + 21)/3] = 22/7× (3/2)^2 [23/3] = 22/7×3/2 ×3/2 ×23/3 = 11/7×1/1 ×3/2 ×23/1 = 759/14 = 54.21 m3

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.