Math, asked by marwafataima97004, 5 months ago

the latral surface of a cylinder is equal to the curved surface area of a cone if their bases are the same find ratio of the height of the cylinder to slaint height of the cone ans should be 1:2

marwafataima97004: oook

Dinosaurs1842: hey there

Dinosaurs1842: I hope you understand the answer

Dinosaurs1842: I have given you an answer.. I hope it helps

Answers

Answered by shivammuleva

Answer:

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Answered by Dinosaurs1842

Lateral surface area of a cylinder = 2πrh

Curved surface area of a cone = πrl

according to the question,

2πrh = πrl

and since it's given that the bases are same let us take πr as x

by forming the equation,

2xh = xl

$\frac{2x}{x} = \frac{l}{h}$

$\frac{2}{1} = \frac{l}{h}$

2:1 = l:h

since they are asking height of cylinder:slant height of cone, the answer will be 1:2

hope it helps

have a great day.

Dinosaurs1842: when the mean bases are same, they are referring to the circles of the shapes

Dinosaurs1842: so the circles will have the same area and circumference

Dinosaurs1842: hence radius is the same

Dinosaurs1842: hey can you check the question again please?

Dinosaurs1842: oh wait it's correct

Dinosaurs1842: never mind.. hope you found it helpful

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