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The volume of a solid hemispherical object is 19404 cm3. Its total surface area is –
The volume of a solid hemispherical object is 19404 cm3. Its total surface area is –
1). 4158 cm2
2). 4923 cm2
3). 4518 cm2
4). 4815 cm2
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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