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A Bucket is in the Form of a Frustum of a Cone and Holds 15.25 Litres of Water. the Diameters of the Top and Bottom Are 25 Cm and 20 Cm Respectively. - Mathematics

Answer in Brief

A bucket is in the form of a frustum of a cone and holds 15.25 litres of water. The diameters of the top and bottom are 25 cm and 20 cm respectively. Find its height and area of tin used in its construction.

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Solution

Since volume of frustum

`=(pih)/3 (R^2 +Rr +r^2)`

`= 15250 cm^3`

`h xx pi/3 xx ((25/2)^2 + (10)^2 + 25/2 xx 10)`

`=15250`

`h xx pi/3(156.25 + 22.5)`

`=15250`

`h = (3 xx 7 xx 15250)/(22 xx 381.25)`

  `=(320250)/(8387.5)`

 = 38.18 cm

Area of the required

`= pi (12.5 + 10)sqrt((12.5 - 10) + 38.18)`

`=3017 cm^2`

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 62 | Page 84
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