Question

Solid cylinder of radius 12 cm and height 15 cm is melted and recast into 6 toys in the shape of right circular cone mounted on a hemisphere. find the radius of a hemisphere and total height of a toy if height of a conical part is three times its radius?​

Answer 1

Answer:

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Class 10

MATHS

VOLUME AND SURFACE AREAS OF SOLIDS

A solid cylinder of diamter 12 cm and height 15 cm is melted and recast into 12 toys in the shape of a right circular cone mounted on a hemisphere. Find the radius of the hemisphere and the total height of the toy, if the height conical part is thrice its radius.

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Text Solution

Solution

Radius of the cylinder, R = 6 cm. <br> Height of the cylinder, H = 15 cm <br>

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<br> Let the radius of each of the conical and hemispherical be r. <br> Then, height of the conical part, h = 3r. <br> Volume of each toy <br> = volume of the hemisphere + volume of the cone <br>

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<br> Now, total volume of 12 toys = volume of the cylinder <br>

<br> Hence, radius of the hemisphere =n 3 cm. <br> Total height of the toy = (r+h) = (r+3r) = 4r <br>

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Answer 2

Answer:

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