Find the curved surface area of the frustum of a cone, the diameters of whose circular ends are 20 m and 6 m and its hei... | LA 4m | Maths | SuperPadhai

Surface Areas And Volumes > Question

LA4 marksYear: 2020MediumCBSE Class 10

surface-areas-and-volumesfrustumcurved-surface-area

Question

Find the curved surface area of the frustum of a cone, the diameters of whose circular ends are 20 m and 6 m and its height is 24 m.

Solution

1

R = 10

m,

r = 3

m,

h = 24

m

+1 mark

2

l = (24)^{2} + (10 - 3)^{2} = 25

m

+1.5 marks

3

CSA

= π (10 + 3) \times 25 = 325 π

m

^{2}

+1.5 marks

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