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Doctors Medicines MCQs Q&A

  1. 72π 
  2. 90π
  3. 100π
  4. 81π
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1 Answers

Option 4 : 81π

Given:

Height of the cone part of the rocket = 3 m 

Radius of the cylindrical part and also the base part  = 3 m 

Height of the cylindrical part = 10 m

Formulas used:

Volume of cone = 1/3πr2h 

Volume of cylinder = πr2h

Volume of hemi-sphere = 2/3πr3

Calculation:

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Volume of the rocket = Volume of (Cone + Cylinder - hemi-sphere) part 

⇒ 1/3× π × 3 × 3 × 3 + π × 3 × 3 × 10 - 2/3 × π × 3 × 3 × 3 

⇒ 9π + 90π - 18π 

⇒ 81π m3

∴ The required result is 81π m3.

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