Question

To maintain beauty of a monument, the students of the school cleaned and painted the
dome of the monument. The monument is in the form of a hemisphere. From inside, it was
white washed by the students whose area is 249.48 m2.
Find the volume of the air inside the dome.
If white washing costs ₹2 per m2, how much does
it costs ?

Answer 1

Answer:

ok

Step-by-step explanation:

(i) Volume of Air -

 Curved Surface Area(They only painted the outside dome) of hemisphere = 2π$r^{2}$ = 249.48m^2

$r^{2}$= $\frac{249.48}{2 * \frac{22}{7} }$

$r^{2} = \frac{249.48*7}{2*22}$

$r^{2} = 39.69$

$r = \sqrt{39.69}$

r = 6.3m

Now , Volume of dome= volume of air inside dome = 2/3 π$r^{3}$

= $\frac{2}{3} * \frac{22}{7} * (6.3)^{3}$

= $\frac{44 }{21} * 250.047$

= 523.908$m^{3}$

(ii) Cost of white washing it -

Curved surface area × 2Rs = 249.48*2 = 498.96$m^{2}$

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