A dome of a building is in the form of a hemisphere. -Maths 9th

A dome of a building is in the form of a hemisphere. -Maths 9th
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Let, r m be the inner radius of the hemispherical dome. Then (i) Inside surface area of the hemispherical dome =  Total cost/ Cost per square metre = 498.96/2 m2  = 249.48 m2 Now, 2 πr2 = 249.48   ⇒ r2 = 249.48 x 7/2 x 22  = 39.69  ⇒ r = root under( √39.69) = 6.3 m (ii) Volume of the air inside the dome = Volume of the hemispherical dome   = 2/3 πr3  = 2/3 x 22/7 x (6.3)3 m3 = 523.908 m3
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