Question 33

The volume of the cone is 100.48 in cubed.

To find the volume of a cone, the formula used is V = (1/3)πr²h. Substituting the given values of radius (4 in) and height (6 in) into the formula results in a volume of 100.48 in cubed.

A) 66.65 in cubed

This option is incorrect as it does not match the calculated volume of the cone. Using the formula V = (1/3)π(4)²(6) results in a significantly higher value than 66.65 in cubed.

B) 150.72 in cubed

This option is also incorrect. The volume calculated using the cone formula does not approach 150.72 in cubed; instead, it results in a lower figure, indicating a miscalculation or incorrect assumptions about the dimensions.

C) 301.44 in cubed

This choice is incorrect as well. The computed volume of the cone is much less than 301.44 in cubed. The calculation confirms that this option overestimates the actual volume based on the given dimensions.

D) 100.48 in cubed

This option is correct. Using the formula V = (1/3)π(4)²(6) yields a volume of 100.48 in cubed, which matches the correct answer for the cone's volume.

Conclusion

The correct volume of the cone, calculated as 100.48 in cubed, is supported by the application of the volume formula for cones. All other options fail to provide accurate results based on the radius and height provided, confirming the correctness of Option D.