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SAT Math Practice Cylinder Volume & Radius

October 3, 2026

Master SAT Geometry Principles with 3D Volume Problems

3D cylinder shape diagram displaying radius and height measurements for volume calculation. — Created by mytutorlesson.com

In October, we will be concentrating on SAT-style geometry questions. Approximately 15% of the SAT Math section tests Geometric principles and Spatial Reasoning. Mastering core 3D formulas — especially those involving cylinders, spheres, and prisms — is one of the fastest ways to pick up easy points on test day. This week, we are kicking off our geometry focus with practice questions involving cylinders. The key formula to memorize (which is also provided on the SAT reference sheet) is the volume of a right cylinder: V = πr²h Where r is the base radius and h is the height.

📝 SAT Practice Question 45: Cylinder Volume

A cylindrical water bottle has a radius of 4 cm and a height of 15 cm. What is the volume of the water bottle in cubic centimeters?

A. 60π cm³
B. 120π cm³
C. 240π cm³
D. 480π cm³

📝 SAT Practice Question 46: Solving for Radius

A cylindrical soup can has a volume of 300 cm³ and a height of 12 cm. What is the approximate radius of the soup can?

A. 2.8 cm
B. 3.2 cm
C. 4.5 cm
D. 5.6 cm

📋 Week 22 Answer Key & Solutions

Expand for Week 22 Answers & Explanations

Question 43: Food Truck Sales (System of Equations)

A local food truck in Yalaha, FL sells tacos for $4 each and burritos for $7 each. On a busy Friday lunch hour, the food truck sold a total of 52 items (only tacos and burritos) and made a total revenue of $271. How many tacos did the food truck sell during this lunch hour?

Answer: 31 tacos

Step 1 (Variables): Let t = tacos and b = burritos.
Step 2 (Equations): t + b = 52 and 4t + 7b = 271
Step 3 (Elimination): Multiply the quantity equation by 7: 7(t + b = 52) ⇒ 7t + 7b = 364.
Step 4 (Subtract): 7t + 7b – (4t + 7b) = 364 — 271 ⇒ 3t = 93
Step 5 (Solve): t = 93/3 = 31
(Check: 31 tacos + 21 burritos = 52 items; 4(31) + 7(21) = 124 + 147 = 271.)

Question 44: Percent Discount

A store is having a 20% off sale. If a jacket was originally priced at $150, what is the sale price of the jacket, in dollars?

Answer: B ($120)

Explanation: The discount amount is 20% of $150, which equals (020)(150) = $30. Subtracting the discount from the original price gives $150 – $30 = $120.

🎓 Master Geometry Formulas with Consistent Practice

Geometry questions on the Digital SAT don’t have to be intimidating! Most geometry items test your ability to plug given values into standard formulas and solve for an unknown variable algebraically. By building a habit of writing down given measurements (r, h, V) before starting your calculations, you can avoid common algebraic traps and build test-day efficiency.

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SAT Math Practice Cylinder Volume & Radius