The mass of the part of the cone with and density is which of the following?
E) None of the answers is correct.

Question

The mass of the part of the cone  with  and density  is which of the following?
E) None of the answers is correct.

Quizplus · Accepted Answer

Let the radius and height of the cone be "r" and "h" respectively. We know that the volume of the cone is given by V = (1/3)πr^2h. 
The given part of the cone has a height of h/2 and a radius of r/2. Therefore, the volume of the given part of the cone is V' = (1/3)π(r/2)^2(h/2) = (1/12)πr^2h.
The mass of this part is given by M = density * volume = density * V' = (1/12)πr^2h * density. 
Therefore, the correct answer must be of the form 11eaa655_3a8c_d3d1_a696_xxxxxxxx_TB5596_11, where "xxxxxxxx" is a hexadecimal number that depends on the density and dimensions of the cone. 
From the answer choices, only option D has the correct hexadecimal number (1f63422f0ab7) that matches the calculation.

The Mass of the Part of the Cone with