Question

a solid cylinder of radius 4cm and height 21cm is melted and reshaped as cuboid.if the length and breadth of the cuboid are 16cm and 11 cm respectively find the height of the cuboid ( assume=22/7)​

Answer 1

Step-by-step explanation:

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Answer 2

★ Understanding the concept:-

Here, given that a solid cylinder of radius 4cm and height 21cm is melted into a cuboid of length 16cm and 11 cm. Hence , Volume of cylinder is equal to volume of cuboid. So, here we have to find Height of cylinder.

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★ Given:-

• Radius of solid cylinder = 4 cm

• Height of solid cylinder = 21 cm

• Length of cuboid = 16 cm

• Breadth of cuboid = 11 cm

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★ To Find:-

• Height of the cuboid

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★ Formula\Concept Used:-

• Volume of cylinder = volume of cuboid

• Volume of cylinder = πr²h

• Volume of cuboid = l × b × h

Here,

▪︎π = 22/7

▪︎r = Radius

▪︎h = Height

▪︎l = Length

▪︎b = Breadth

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★ Solution:-

According to given conditions ;

Volume of cylinder = Volume of cuboid

➟ πr²h = l × b × h

➟ (22/7) × (4)² × 21 = 16 × 11 × h

➟ 22 × 16 × 3 = 176 × h

➟ 1056 = 176 × h

➟ h = 1056 ÷ 176

➟ h = 6

∴ h = Height = 6cm

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★ Answer:-

Height of cuboid is 6cm.

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