CBSE Class 10 Maths (Basic) 2023 · Paper 430/C/B · Question 37

Surface Areas and Volumes 4 marks Hard

The great Stupa at Sanchi is one of the oldest stone structures in India which was originally made by Emperor Ashoka. It is basically a big hemispherical dome with a cuboidal structure mounted on it. Based on the above, answer the following questions:

iWhat is the volume of the hemispherical dome, if its height is $21$ m? (use $π = \frac{22}{7}$ )
iiWhat is the area of plastic cloth required to cover the hemispherical dome, if the radius of its base is $14$ m?
iii-aIf the dimensions of the cuboidal top are $8 m \times 6 m \times 4 m$ , then what is the surface area of this cuboidal top?
iii-bOR What is the volume of the cuboidal top of the dimensions given in part (iii)?

Answer

(i)

19404

^{3}

; (ii)

1232

^{2}

; (iii)(a)

208

^{2}

; (iii)(b)

192

^{3}

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CBSE Class 10 Maths (Basic) 2023 · Paper 430/C/B · Question 37

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