An iron pillar consists of a cylindrical portion of 2.8 m. height and 20 cm. in diameter and a cone of 42 cm. height surmounting it. Find the weight of the pillar if 1cm3 of iron weighs 7.5 g.
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Answer:
693 kg
Step-by-step explanation:
Find the weight of the cylindrical portion:
Volume = πr²h
Volume = π(20 ÷ 2)²(280)
Volume = 28000π cm³
Find the volume of the cone:
Volume = 1/3 πr²h
Volume = 1/3 π(20 ÷ 2)²(42)
Volume = 1400π cm³
Find the total volume:
Volume = 28000π + 1400π
Volume = 29400π cm³
Volume = 92400 cm³
Find the weight:
1 cm³ = 7.5g
92400 cm³ = 92400 x 7.5
92400 cm³ = 693000g
92400 cm³ = 693 kg
Answer: The weight of the pillar is 693 kg
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