18. 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 height of the dome is 21 m
Answers
Answer:
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. Ans.
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Given : combined figure hemispherical dome with radius 14 m
and cuboidal shaped top with dimensions 8m x 6m x 4m
To Find : The total surface area of the combined figure
Solution:
The formula to find the volume of sphere is (4/3)πR³
R = Radius of sphere
Total surface area of sphere = 4πR²
The cloth require to cover the hemispherical dome if the radius of its base is 14m is
2πR² = 2(22/7)14² = 1232 sq.m
The total surface are of the combined figure i.e hemispherical dome with radius 14 m and cuboidal shaped top with dimensions 8m x 6m x 4m is
= 1232 + 2 * 8 (6 + 4)
= 1392 sq.m
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