Question

A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone. Choose the correct alternative answer for the following question.
(A) 15 cm
(B) 10 cm
(C) 18 cm
(D) 5 cm

Answer 1

Radius of cylinder = Radius of cone

According to question,

Volume of cone = Volume of cylinder

=> pi r^2 h / 3= pi r^2 H

=> h / 3= H

=> h = 3 × 5

=> Height of cone = 15 cm

Answer 2

Hello Friend....

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The answer of u r question is....

Ans:

Given,

Radius of cylinder=Radius of cone....

Volume of cone=Volume of cylinder...

${\pi \: r}^{2} \frac{h}{3} = {\pi \: r}^{2} h$

$\frac{h}{3} = h$

h=3×5

=15

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Thank you....⭐️⭐️⭐️