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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.4 in Chapter 17 - Mensuration

Question 14 Mensuration Exercise 17.4

Find the volume of the wood in the rocket. Use π = 3.14 and give answers correct to 2 decimal places.

Question 14 Image - M L Aggarwal - Understanding ICSE Mathematics - Class 10 chapter Mensuration

Answer:

Solution:

The volume of the combined solids will equal the sum of the volumes of the separate solids. So the volume of rocket will be the sum of volume of cone and cylinder.

M L Aggarwal - Understanding ICSE Mathematics - Class 10 chapter Mensuration Question 14 Solution image

Volume of wood in the rocket = Volume of cone + Volume of cylinder

= (1/3)π R2H + π r2h

= π ((R2H/3) + r2h))

= 3.14×((2.52×6/3) + 1.52×20)

= 3.14×((6.25×2) + 2.25×20)

= 3.14×(12.5+ 45)

= 3.14×57.5

= 180.55 cm3

Hence the volume of the wood in the rocket is 180.55 cm3.

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