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 cm.
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1021.247
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Step-by-step explanation:
Given 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 cm.
- Now in a frustum of a cone we need to find the slant height.
- Now diameters of circular ends of the frustum of a cone are 20 m and 6 m
- So the radius will be 20/2 = 10 m and 6/2 = 3 m
- So R = 10 and r = 7 , but r = 10 – 3 = 7
- Now slant height = √h^2 + l^2
- = √24^2 + 7^2
- = √576 + 49
- = √625
- = 25
- So curved surface area CSA = π(R + r)l
- = 22/7 x (10 + 3) 25
- = 7150 / 7
- = 1021.4 sq cm
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