A cylindrical hole of diameter $30 c m$ is bored through a cubical wooden block with side $1$ metre as shown in the figure. Find the volume of the object so formed ( $π = 3.14$ )

Open in App

Solution

Volume of Object = Volume of Cube $-$ Volume of Cylinder

Radius of Cylinder $r = 15 c m = 0.15 m$

Height of Cylinder = Side of Cube = $h = 1 m$
side of Cube $= a = 1 m$

Volume of Cube $= a^{3} = 1^{3} = 1 m^{3}$

Volume of Cylinder $= π r^{2} \times h = 1^{3} = 3.14 \times (.15)^{2} \times 1 = .07065 m^{3}$

Now
Volume of Object $= 1 m^{3} - 0.07065 m^{3} = 0.92935 m^{3}$

Suggest Corrections

Similar questions

Q. A cylindrical hole of diameter 30 cm is bored through a cuboid wooden block with side 1 meter as shown in figure. Find the volume of the object so formed

(π = 3.14)

Q. A cylindrical hole of diameter 30 cm is bored through a cuboid wooden block with side 1 meter as shown in fig 6.47. Find the volume of the object so formed (

π = 3.14

)

Q. In Fig. 5, from a cubical solid metallic block, of dimensions 15cm X 10cm X5cm, a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block Use

π = (\frac{22}{7})

Q. A godown building as shown in figure is made in the form of a cubical base with dimensions

40 m \times 14 m \times 4 m

, surmounted by a half cylindrical curved roof having same length as that of the base. The diameter of the cylinder is

14 m

. Find the volume of the building and its total outer surface area.

A cubical block of side 10 cm is surmounted by a hemisphere. What is the largest diameter that the hemisphere can have? Find the cost of painting the total surface area of the solid so formed, at the rate of Rs 5 per 100 sq. cm [Use $π = 3.14$ ]

Join BYJU'S Learning Program

A cylindrical hole of diameter 30cm is bored through a cubical wooden block with side 1 metre as shown in the figure. Find the volume of the object so formed (π=3.14)

Volume of Object = Volume of Cube − Volume of Cylinder Radius of Cylinder r=15cm=0.15mHeight of Cylinder = Side of Cube = h=1mside of Cube =a=1mVolume of Cube =a3=13=1m3Volume of Cylinder =πr2×h=13=3.14×(.15)2×1=.07065m3Now Volume of Object =1m3−0.07065m3=0.92935m3

A cylindrical hole of diameter $30 c m$ is bored through a cubical wooden block with side $1$ metre as shown in the figure. Find the volume of the object so formed ( $π = 3.14$ )