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The Diameters of the Lower and Upper Ends of a Bucket in the Form of a Frustum of a Cone Are 10 Cm and 30 Cm Respectively. If Its Height is 24 Cm, Find: - CBSE Class 10 - Mathematics

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Question

The diameters of the lower and upper ends of a bucket in the form of a frustum of a cone are 10 cm and 30 cm respectively. If its height is 24 cm, find:

1) The area of the metal sheet used to make the bucket.

2) Why we should avoid the bucket made by ordinary plastic? [Use π = 3.14]

Solution

We have:

A radius of the upper end of the frustum, R = 15 cm; Radius of the lower end of the frustum, r = 5 cm; Height of frustum, = 24 cm

we know

Slant height, `l^2 = h^2 + (R - r)^2`

`=> l^2 = ((24)^2 + (15 - 5)^2) = (576 + 100) = 676`

`= l = 26 cm`

1) Required area of the metal sheet = `pi[r^2 + 1(R + r)]` sq. cm

`= 3.14 [5^2 + 26(15 + 5)] cm^2`

`= 3.14 xx (25 + 520) cm^2`

`= 3.14 xx 545 cm^2`

`= 1711.3 cm^3`

2) Plastic is harmful to the environment and to protect the environment its use should be avoided.

  Is there an error in this question or solution?
Solution The Diameters of the Lower and Upper Ends of a Bucket in the Form of a Frustum of a Cone Are 10 Cm and 30 Cm Respectively. If Its Height is 24 Cm, Find: Concept: Surface Area of a Combination of Solids.
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