Question

the Dome of a building is in the form of a hemisphere of radius 49 decimeter find the cost of painting it at the rate ₹ 8 per square metre

Answer 1

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$\bold{\Huge\red{\boxed{{{Answer}}}}}$

✒ 1,207.36 ₹

$\bold{\Huge\pink{\boxed{{{Given}}}}}$

✒ Radius of dome in building = 49 dm

✒ Cost of painting per meter² = 8 ₹

$\bold{\Huge\green{\boxed{{{To \: Find}}}}}$

✒ Cost of painting the dome of building

$\bold{\huge\blue{\boxed{{{Explanation}}}}}$

✒ Surface area of Hemisphere

$\boxed {\huge{ = > 2\pi {r}^{2} }}$

$\boxed {{ = > 2\ \frac{22}{7} ({4.9}^{2}) }}$

$\boxed {{ = > 2 \times \frac{22}{7} \times (4.9) \: (4.9)}}$

$\boxed {{ = > 44 \times 3.43}}$

$\boxed {{ = > 150.92 \: {m}^{2} }}$

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✒ Now cost of painting the dome

$\boxed {{ = > 150.92 \times 8 \: ₹}}$

$\boxed{ = > 1,207.36 \: ₹}$

Hence cost of painting the Dome of the building is 1207.36 ₹.

$\boxed{ \huge{{Note}}}$

✒ 1 Decimetre = 0.1 meters

✒ 49 Decimetre = 4.9 meters

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