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A tent has been constructed which is in the form of a right circular cylinder surmounted by a right circular cone whose axis coincides with the axis of the cylinder. If the radius of the base is 50 m, the height of the cylinder is 10 m and the total height of the tent is 15 m, then what is the capacity of the tent in cubic meters?1). 37500π2). 87500π/33). 26500π/34). 25000π |
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Answer» Height of the cone = Total height – Height of the cylinder = 15 – 10 = 5 cm RADIUS of the cone = Radius of the cylinder = 50 m Total volume of tent = Volume of cylinder + Volume of cone ⇒ πr2H + 1/3 × πr2h ⇒ π502 × 10 + 1/3 × π502 × 5 ⇒ 502 × π × (10 + 5/3) ⇒ 2500 × 35/3 × π ⇒ 87500π/3 cm3 |
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