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The Circular Ends of a Bucket Are of Radii 35 Cm and 14 Cm and the Height of the Bucket is 40 Cm. Its Volume is - Mathematics

MCQ

The circular ends of a bucket are of radii 35 cm and 14 cm and the height of the bucket is 40 cm. Its volume is

Options

  • 60060 cm3

  • 80080 cm3

  • 70040 cm3

  • 80160 cm3

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Solution

 80080 cm3

Let R and r be the radii of the top and base of the bucket, respectively, and let h be its height. 

Then,

R = 35 cm, r = 14 cm , h = 40 cm

R = 35 cm, r = 14 cm, h = 40 cm

Volume of the bucket = Volume of the frustum of the cone

`=1/3pi"h"["R"^2 +"r"^2+"Rr" ] "cm"^3`

`= 1/3 xx22/7xx40xx[(35)^2 + (14)^2 + (35xx14)] "cm"^3`

`=((880)/(21)xx1911) "cm"^3`

= 80080 cm

Hence, the volume of the bucket is 80080 cm3.

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 71 | Page 924
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