Question

35. A bucket is in the shape of frustum with the top and bottom of the circle of radii 15cm and 10 cm. its depth in 12 cm. find its curved surface area and total surface area​

Answer 1

Answer:

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Answer 2

The curved surface area is 325π cm² and total surface area​ is 650π cm³

Given,

r1 = 15 cm

r2 = 10 cm

h = 12 cm

l = √ [ h^2 + (r2 - r1)^2 ]

= √ [12^2 + (10 - 15)^2 ]

= √ [ 144 + 25 ]

∴ l = 13 cm.

CSA = π (r1 + r2) l

= 22/7 (15 + 10) 13

= 22/7 × 25 × 13

= 325π cm²

TSA = πl (r1 + r2) + π (r1^2 + r2^2)

= CSA + π (r1^2 + r2^2)

= 325π + π (15^2 + 10^2)

= π [ 325 + (225 + 100) ]

= 650π cm³