1.

The volume of a solid hemispherical object is 19404 cm3. Its total surface area is –1). 4158 cm22). 4923 cm23). 4518 cm24). 4815 cm2

Answer»

Total surface area of solid hemisphere = 3πr2

And VOLUME of solid hemisphere $(= \frac{2}{3}{\rm{\pi }}{r^3})$

Where, r = RADIUS of the solid hemisphere

Given,

Volume of solid hemisphere = 19404

⇒ (2/3)πr3 = 19404

⇒ (2/3) × (22/7) × r3 = 19404

⇒ r3 = (19404 × 3 ×7)/(2 × 22) = 9261

⇒ r = 21 cm

∴ Total surface area = 3πr2

= 3 × (22/7) × (21)2 cm2

= 4158 cm2


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