A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 of sand. Jared says that the cone can hold about 1,178 of sand. Which explains whether Jared is correct?

The correct answer is C. So, lets go first to the equations that determine the volume of these solids. For the cylinder, that is simple; pi*r*r*h where r is the radius, h is the height and pi is the constant 3.14. For the cone, it is not easy to derive but one gets that the formula is:.

We notice thus that . That holds irrespective of their radius or height; we only need to know that the heights and radii of the two objects are the same. Now, we have thus that:

.

We can check if this holds for Jared's statement; 1178/4712=0.25=1/4. So, it does not hold and thus Jared's statement is incorrect.

quit

step-by-step explanation: