CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Question 18
The diameters of the two circles ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is
(A) 32.7 litres
(B) 33.7 litres
(C) 34.7 litres
(D) 31.7 litres


Solution

Option (B) is correct.
Given , diameter of one end of the bucket,
2R=44R=22 cm       [diameter,d=2×radius]
And diameter of  the other end.
2r=24r=12 cm            [diameter,d=2×radius]
Height of the bucket , h = 35 cm
Since, the shape of bucket is look like as frustum of cone.
Capacity of the bucket = Volume of the frustum of the cone
=13πh[R2+r2+Rr]=13×π×35[(22)2+(12)2+22×12]=35π3[484+144+264]=35π×8923=35×22×8923×7=32706.6 cm3(approx)=32.7L[1000 cm3=1 L]

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More



footer-image