<p>A metal structure formed by a cone of radius $15$ cm and height $34$ cm and a cylindrical base of the same radius and height $h$ cm is shown below.</p>
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<ol class="abc-list"><li><div class="list-item-paragraph">Given that the volume of the structure is $15080$ cm$^{3}$, find the height, $h$ cm of the cylindrical base.</div></li><li><div class="list-item-paragraph">The solid is melted and recast into $30$ identical hemispherical shapes. Find the radius of each hemisphere.</div></li></ol>

A metal structure formed by a cone of radius $15$ cm and height $34$ cm and a cylindrical base of the same radius and height $h$ cm is shown below.

Given that the volume of the structure is $15080$ cm$^{3}$, find the height, $h$ cm of the cylindrical base.

The solid is melted and recast into $30$ identical hemispherical shapes. Find the radius of each hemisphere.

Volume and Melting Application of a Composite Solid

Volume and Melting Application of a Composite Solid

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