Q. 45.0( 1 Vote )

Given: slant height of bucket = l = 45 cm

Radius of bottom circle = r = 7 cm

Radius of top circle = R = 28 cm

As the bucket is in the form of frustum

Formula: Total surface area of frustum = πr2 + πR2 + π(R + r)l cm2

Now we have asked curved surface area, so we should subtract the top and bottom surface

areas which are flat circles.

Surface area of top = πr2

Surface area of bottom = πR2

Curved surface area = total surface area – πr2 - πR2 cm2

= πr2 + πR2 + π(R + r)l – πr2 - πR2 cm2

= π(R + r)l cm2

= 3.14 × (28 + 7) × 45 cm2

= 3.14 × 35 × 45 cm2

= 4945.5 cm2

Therefore, curved surface area of bucket = 4945.5 cm2

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