Question

A bucket is in the form of a frustum of a cone with a capacity of 12308.8 cm³. The radii of the top and bottom circular ends of the bucket are 20 cm and 12 cm respectively. Find the height of the bucket and also the area of metal sheet used in making it. (Use $straight pi$ = 3.14)

Solution

Radius of frustum,
r = 12 cm, R = 20 cm, V = 12308.8 cm³.

$straight V subscript frustrum equals 1 third πh left parenthesis left parenthesis straight R squared plus straight r squared plus Rr 123088 over 10 equals 1 third straight x 314 over 100 straight x space straight h left parenthesis 400 plus 144 plus 240 right parenthesis 123088 over 10 equals 314 over 100 xhx 784 over 3 straight h space equals space 15 space cm straight l space equals space square root of 225 plus 64 end root equals square root of 289 equals 17 space cm. area left parenthesis metal space sheet space used right parenthesis space equals space straight pi left parenthesis straight R plus straight r right parenthesis straight l plus πr squared equals straight pi left parenthesis 32 space straight x space 17 right parenthesis space plus straight pi left parenthesis 144 right parenthesis equals straight pi left parenthesis 544 space plus space 144 right parenthesis equals space 314 over 100 left parenthesis 688 right parenthesis space equals space 216032 over 100 equals space 2160.32 space cm squared space$

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Statistics

A bucket is in the form of a frustum of a cone with a capacity of 12308.8 cm³. The radii of the top and bottom circular ends of the bucket are 20 cm and 12 cm respectively. Find the height of the bucket and also the area of metal sheet used in making it. (Use $straight pi$ = 3.14)

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Statistics

A bucket is in the form of a frustum of a cone with a capacity of 12308.8 cm3. The radii of the top and bottom circular ends of the bucket are 20 cm and 12 cm respectively. Find the height of the bucket and also the area of metal sheet used in making it. (Use = 3.14)

Some More Questions From Statistics Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A bucket is in the form of a frustum of a cone with a capacity of 12308.8 cm³. The radii of the top and bottom circular ends of the bucket are 20 cm and 12 cm respectively. Find the height of the bucket and also the area of metal sheet used in making it. (Use $straight pi$ = 3.14)