A cylindrical hole of diameter 30cm is bored through a cubical wooden block with side 11 metre as shown in the figure. ____ cm3 is the volume of the object formed. (π=3.14)

Chapter/Topic: Surface area and volumes

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Volume of the object = Volume of the cuboid − Volume of the cylinder
Volume of a cuboid of length l, breadth b and height h =l×b×h.
As, all the sides of the cuboid are equal, volume of the cuboid =1m×1m×1m=1 m3=1000000 cm3
Volume of a Cylinder of Radius R and height h =

π R^{2} h

The Radius of the given cylinder is 230=15 cm and its height is 1m=100 cm
Hence, volume of the given cylinder =3.14×15×15×100=70650 cm3
Hence, volume of the object =1000000−70650=0.9292857 m3= 929350 cm3
929350 cm3 is the volume of the object formed.

Watch 3-min video & get full concept clarity