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>> $A solid toy is in the form of a hemisphe$

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Example 7: A solid toy is in the form of a
nemisphere surnounted by a right circular cone. The
height of the cone is <span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.64444em;vertical-align:0em;"></span><span class="mord">2</span><span class="mord"><span class="mord mathrm">c</span><span class="mord mathrm">m</span></span></span></span></span> and the diameter of the
base is <span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.64444em;vertical-align:0em;"></span><span class="mord">4</span><span class="mord"><span class="mord mathrm">c</span><span class="mord mathrm">m</span></span></span></span></span>. Determine the volume of the toy. If a
right circular cylinder circumscribes the toy, find the
difference of the volumes of the cylinder and the toy.
(Take <span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.43056em;vertical-align:0em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">π</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">3</span><span class="mord">.</span><span class="mord">1</span><span class="mord">4</span><span class="mclose">)</span></span></span></span>

Example 7: A solid toy is in the form of a nemisphere surnounted by a right circular cone. The height of the cone is $2 c m$ and the diameter of the base is $4 c m$ . Determine the volume of the toy. If a right circular cylinder circumscribes the toy, find the difference of the volumes of the cylinder and the toy. (Take $π = 3.14)$

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Updated on : 2022-09-05

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