PSAT Math Multiple-Choice Question 264: Answer and Explanation

Question: 264

An ice cream cone is filled with ice cream, and then one-half of a spherical scoop of ice cream is added on top of the cone. The diameter of the top of the cone is 8 centimeters, and the height of the cone (not including the half scoop on top) is 6 centimeters. What is the amount of ice cream to the nearest cubic centimeter? Use 3.14 for 𝛑.

• A. 168
• B. 200
• C. 234
• D. 268

Correct Answer: C

Explanation:

The correct solution is 234 cubic centimeters. The radius is one-half of the diameter, or 4 centimeters. Substitute the values into the formula and simplify using the order of operations,V = π r³ + π r² h = (3.14) 4³ + (3.14) 4²(6) = (3.14)(64) + (3.14)(16)(6) = 134 + 100 = 234 cubic centimeters. See Lesson: Measurement and Dimension.