Surface Areas and Volumes Case Study Based Questions 02 Term II

Mathematics TERM II

Surface Areas & Volumes

Class 10 Session 2021-2022

Case Study Questions 02

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 is 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 = `\frac{22}{7}`)1. The volume of the hemispherical dome if the height of the dome is 21 m, is

(a) 19404 cu. m
(b) 2000 cu. m
(c) 15000 cu. m
(d) 19000 cu. m

(a) 19404 cu. m

2. The formula to find the volume of sphere is

(a) `\frac{2}{3}\pi r^{3}`
(b) `\frac{4}{3}\pi r^{3}`
(c) `4\pi r^{2}`
(d) `2\pi r^{2}`

(b) `\frac{4}{3}\pi r^{3}`

3. The cloth required to cover the hemispherical dome if the radius of its base is 14 m is

(a) 1222 sq. m
(b) 1232 sq. m
(c) 1200 sq. m
(d) 1400 sq. m

(b) 1232 sq. m

4. The total surface area of the combined figure, i.e. hemispherical dome with radius 14 m and cuboidal shaped top with dimensions `8 m\times6 m\times4 m` is

(a) 1200 sq. m
(b) 1232 sq. m
(c) 1392 sq.m
(d) 1932 sq. m

(c) 1392 sq. m

5. The volume of the cuboidal shaped top with dimensions mentioned in question 4, is

(a) 182.45 `m^{3}`
(b) 282.45 `m^{3}`
(c) 292 `m^{3}`
(d) 192 `m^{3}`

(d) 192 `m^{3}`

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