The SAT Math exam will probably ask you to calculate the volume of a three-dimensional shape, like a cube, sphere, or pyramid. Or, as in the following practice questions, it will ask you to find the total volume of two combined shapes.
Practice questions
Both questions are based on the following information.- What is the volume of the cotton candy machine in terms of pi?
- Which is closest to the volume of the cotton candy machine in cubic feet? A. 20 B. 30 C. 40 D. 50
Answers and explanations
- The correct answer is Choice (A).
Per the formula bar at the beginning of the SAT's Math section, you can find the volumes of a right circular cone and cylinder with
The radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone:
Then the cylinder:
Now add the volumes together:
- The correct answer is Choice (D).
Per the formula bar at the beginning of the SAT's Math section, you can find the volumes of a right circular cone and cylinder with
The radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone:
Then the cylinder:
Now add them together and multiply by 3.14 for pi: