A cone and a cylinder have the same base area. They also have the same curved surface area. If the height of the cylinder is 3 m, then the slant height of the cone (in m) is
3
6
4
7
A
4
B
3
C
7
D
6
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Solution
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Given the radius of cylinder and cone are the same because there base areas are same. Curved surface of cylinder = curved surface area of the cone ∴2πrh=πrl ∴l=2h Given, height of cylinder =3 cm Therefore, slant height of cone =6 cm
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