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Find the (i) radius of its base = 7 cm, height = 1.5 dm %3D (ii) area of base = 154 cm?, height = 1.5 cm %3D %3D (iii) circumference of base = 1.32 m, height = 25 cm Galewimming fo How many cubic metres of earth must be dug out to sink a well 16 m in depth and Zm in diameter? 2. Heighe

Find the (i) radius of its base = 7 cm, height = 1.5 dm %3D (ii) area of base = 154 cm?, height = 1.5 cm %3D %3D (iii) circumference of base = 1.32 m, height = 25 cm Galewimming fo How many cubic metres of earth must be dug out to sink a well 16 m in depth and Zm in diameter? 2. Heighe

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Volume of the = TT (R- 22 (72-62) × 200 22 x 13 x 200 cm³ %3D 22 x 13 × 200 × 7 gm = 57,200 gm Weight of the tube = 7 Hence, weight of tube is 57,200 gm. Worksheet 6 1. Find the volume of a right circular cylinder if- (i) radius of its base = 7 cm, height = 1.5 dm (ii) area of base = 154 cm2, height = 1.5 cm (iii) circumference of base = 1.32 m, height = 25 cm How many cubic metres of earth must be dug out to sink a well 16 m in depth and Zm in diameter? 2. Heght 3. A water tank is cylindrical in shape and the diameter of its base is 28 m. If it is 7 metres deep, how many kilolitres of water can it hold? 4. The radius of the base of a cylindrical oil can is 4 m. Find its height if it can contain 1,408 kilolitres of oil. The radius and height of a cylinder are in the ratio 5:7 and its volume is 550 cm³. Find its radius. The thickness of a hollow metallic cylinder is 2 cm. It is 35 cm long and its inner radius is 12 cm. Find the volume of metal required to make the cylinder, assuming it is open, at either end. neight A rectangular sheet of paper is rolled along its length to make a cylinder. 1The sheet is 33 cm long and 32 cm wide. A circular sheet of paper is attached to te bottom of the cylinder formed. Find the capacity of cylinder so formed. 248
Transcribed Image Text:Volume of the = TT (R- 22 (72-62) × 200 22 x 13 x 200 cm³ %3D 22 x 13 × 200 × 7 gm = 57,200 gm Weight of the tube = 7 Hence, weight of tube is 57,200 gm. Worksheet 6 1. Find the volume of a right circular cylinder if- (i) radius of its base = 7 cm, height = 1.5 dm (ii) area of base = 154 cm2, height = 1.5 cm (iii) circumference of base = 1.32 m, height = 25 cm How many cubic metres of earth must be dug out to sink a well 16 m in depth and Zm in diameter? 2. Heght 3. A water tank is cylindrical in shape and the diameter of its base is 28 m. If it is 7 metres deep, how many kilolitres of water can it hold? 4. The radius of the base of a cylindrical oil can is 4 m. Find its height if it can contain 1,408 kilolitres of oil. The radius and height of a cylinder are in the ratio 5:7 and its volume is 550 cm³. Find its radius. The thickness of a hollow metallic cylinder is 2 cm. It is 35 cm long and its inner radius is 12 cm. Find the volume of metal required to make the cylinder, assuming it is open, at either end. neight A rectangular sheet of paper is rolled along its length to make a cylinder. 1The sheet is 33 cm long and 32 cm wide. A circular sheet of paper is attached to te bottom of the cylinder formed. Find the capacity of cylinder so formed. 248
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