A solid is in the shape of a cone surmounted on a hemi-sphere, the radius of each of them is being 3.5 cm and the total height of solid is 9.5 cm. Find the volume of the solid.(Use π=22/7)
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Total volume = 166.83 cu.cm.
Step-by-step explanation:
Radius of cone = radius of hemisphere = 3.5cm
Total height = 9.5cm
So height of the cone = 9.5 - 3.5 = 6cm
Volume of cone = πr²h/3
volume of hemisphere = (2/3)πr³
Total volume = πr²h/3 + (2/3)πr³ = πr²/3 (h +2r) = 22/7 * 3.5/3 *3.5 (6 + 7)
= 22/7 * 3.5/3 *3.5 * 13
= 166.83 cu.cm.
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