Question

A dome of building is in the form of a hemisphere. From inside it was white-washed at the cost of ₹498.96. If the cost of white washing is ₹. 2 per square meter, find the inside surface area of the dome and Volume of air inside the dome BEST ANSWER WITH STEPS WILL BE MARKED AS BRAINLIEST PLZ VERY URGENT

Answer 1

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, 2πr2 = 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

= 2/3πr3 = 2/3 x 22/7 x (6.3)3 m3 = 523.908 m3