<p>can somebody please show me how to get the answer, which is 24, please?</p>
<p>The radius of a right circular cone is 6 and the radius of the parallel cross section is 4. If the distance between the base and cross section is 8, what is the height of the cone?</p>
<p>Also, for those of you who have the Math 2c collegeboard tests, can you show me how to do number 35 on one of the 2 tests? The answer for it was 2sin(theta)cos(theta)</p>
<p>Thanks so much!</p>
<p>please help!!</p>
<p>I don’t have the College Board tests, so I can only help on the first problem. </p>
<p>So, height of entire cone = h. </p>
<p>Using rules of similarity, the cross-section of the cone forms another, smaller cone above it that is similar to the entire cone. The new cone has a radius of 4. </p>
<p>4/6 = 2/3. Therefore, the ratio of cross-section cone to entire cone is 2:3.</p>
<p>Entire h = 8 + (h-8) <—( h-8 is the small cone’s height)</p>
<p>So, (h-8) / h = 2/3</p>
<p>Cross multiply, and you get </p>
<p>3h - 24 = 2h</p>
<p>Solve from there for h, and you get</p>
<p>h=24</p>
<p>I hope that helped.</p>