The volume of a cylinder of radius 7 cm and height 10 cm is (π = 22/7):

## The reasoning The **volume of a cylinder formula** is what you need here: V = πr²h Let's substitute step by step: - radius (r) = 7 cm - height (h) = 10 cm - π = 22/7 V = (22/7) × 7² × 10 V = (22/7) × 49 × 10 V = 22 × 7 × 10 (the 7s cancel!) V = 1,540 cm³ The key is remembering to **square the radius first** (7² = 49), then multiply everything together. ## Why the wrong options tempt you **Option B (770)** — You probably forgot to square the radius and just did 22/7 × 7 × 10. Always square r! **Option C (440)** — Maybe you used 2πr instead of πr², mixing up circumference formula with volume. **Option D (220)** — You likely divided somewhere instead of multiplying, or forgot the height entirely. ## Quick takeaway For cylinder volume, think **"Pi-R-Squared-H"** — say it like a chant, and never forget to square that radius before multiplying by height!