Question

the lateral surface area of a cylinder is equal to the curved surface area of a cone if their bases are the same find the ratio of the height of the cylinder to the slant height?

Answer 1

Answer:

yes dear. ..............

Answer 2

Let r be the radius of both the cylinder and the cone

Again let h and l respectively be the height and slant height of the cylinder and the cone Then

lateral surface of the cylinder =curved surface of the cone

⇒2πrh=πrl⇒2h=l

$⇒ \frac{1}{h} = \frac{1}{2} ⇒h:1=1:2</p><p></p><p>$

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