Question

The Great Stupa at Sanchi is one of the oldest stone structures in India, and

an important monument of Indian Architecture. It was originally

commissioned by the emperor Ashoka in the 3rd century BCE. Its nucleus

was a simple hemispherical brick structure built over the relics of the

Buddha. .It Is a perfect example of combination of solid figures. A big

hemispherical dome with a cuboidal structure mounted on it.

i) Calculate the volume of the hemispherical dome if the radius of the dome

is 3m . (take = 22/7)

a) 18 cu. m b)36 cu .m

c) 6 cu. m d) 54 cu. m

1

II) The formula to find the Volume of Sphere is-

a) 2

3



3

b) 4

3



3

c) 4

2

d) 2

2

1

III) The cloth require to cover the hemispherical dome if the radius of its base

is 14m

(a) 382 sq. m (b) 352 sq. m

(c) 392 sq. m (d) 288 sq. m



iv) The total surface area of the hemisphere

a) 2

2

b) 3

2

)

2

3



2

)

4

3



2



v) Total surface area of cuboid with dimensions 8m x 6 m x 4 m is

a)104sq. m b) 160 sq. m c) 112 sq. m d) 208 sq. m ​

Answer 1

Height of the hemispherical dome = Radius of the dome = 21 m.

Volume of hemispherical dome = 2πr³/3

Volume = 2×22×21×21×21/7

Volume = 44×21×63

Volume = 58212 m³.  

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