A washing tub in the shape of a frustum of a cone has height 21 cm. The radii of the circular top and bottom are 20 cm and 15 cm respectively. What is the capacity of the tub ? ( π = 22/7)
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Answered by
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Answer:
20350 cm³
= 20.35 Litre
Step-by-step explanation:
If We extend it till a point then we can have two cones
Small cone with
height = x cm
radius = 15 cm
Larger cone
height = x + 21 cm
Radius = 20 cm
15/20 = x/(21+x) (similar triangles)
=> 315 + 15x = 20x
=> x = 63
Volume of tub = volume of Larger cone - Volume of Smaller cone
=> Volume of tun = (1/3)π20²(21 + 63) - (1/3)π15²*63
π = 22/7
=> Volume of bucket = 22 * 400*4 - 22*225*3
= 35200 - 14850
= 20350 cm³
= 20.35 Litre
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