<u>Answer;</u>
radius of the cylinder = 8 cm
<em><u>Explanation;</u></em>
- The volume of a sphere is given by 4/3πR³, while the volume of a cylinder is given by the formula πr²H.
- Therefore; since the two volumes are equal, it means;
<em> 4/3πR³= πr²H, cancelling out π, we get;</em>
<em> 4/3R³ = r²H</em>
<em> 4/3 × 6³ =r² × 4.5 </em>
<em> 4/3 × 216 = 4.5 r²</em>
<em> 4.5 r² = 288</em>
<em> r² = 64 </em>
<em> r = √ 64 </em>
<em> </em><u><em> = 8 cm </em></u>
<u><em>The radius of the cylinder is thus, 8 cm</em></u>