1.

11From a solid cylinder block of radius 3x and height 8x, a sphere of radius x cm is drilled outFind the volume of the remaining block.​

Answer»

Required ANSWER:

To find the volume of the remaining BLOCK, we can simply subtract the volume of the SPHERE from the volume of the cylinder.

GiveN:-

  • Radius and height of the solid cylinder is 3x cm and 8X cm.
  • Radius of solid sphere = x cm

To FinD:-

  • Volume of remaining block?

Step-by-Step Explanation:-

Volume of the remaining block = Volume of the cylinder - Volume of the sphere.

Formula we have to USE:

  • Volume of cylinder = πr²h
  • Volume of sphere = 4/3 πr³

Finding the volume:

= πr'²h - 4/3 πr³

= π(3x)²8x - 4/3 πx³

= π(72x³) - 4/3 πx³

= π(72x³ - 4/3x³)

= π(212/3 x³)

= 22/7 × 212/3 x³

= 222.1 x³ (approx.)

Hence:-

  • The required volume of the remaining block is 222.1 x³ (Answer)


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