Question 2 - Case Based Questions (MCQ) - Chapter 12 Class 10 Surface Areas and Volumes

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. (Take π=22/7)

Question 1

Calculate the volume of the hemispherical dome if the height of the dome is 21 m –
(a) 19404 cu. m
(b) 2000 cu. m
(c) 15000 cu. m
(d) 19000 cu. m

Question 2

The formula to find the Volume of Sphere is
(a) 2/3  πr ³
(b) 4/3  πr ³
(c) 4 πr ²
(d) 2 πr ²

Question 3

The cloth require to cover the hemispherical dome if the radius of its base is 14m is ?
(a) 1222 sq.m
(b) 1232 sq.m
(c) 1200 sq.m
(d) 1400 sq.m

Question 4

The total surface area of the combined figure i.e. hemispherical dome with radius 14m and cuboidal shaped top with dimensions 8m × 6m ×  4m is
(a) 1200 sq.m
(b) 1232 sq.m
(c) 1392 sq.m
(d) 1932 sq.m

Question 5

The volume of the cuboidal shaped top is with dimensions mentioned in question 4
(a) 182.45 m ³
(b) 282.45 m ³
(c) 292 m ³
(d) 192 m ³