Saved Bookmarks
| 1. |
224) The total surface area of a closed cylinder is 3872 cm If its radiusis 14cm, then find the height of the cylinder and the volume of thecylinder. |
|
Answer» To find:
Solution: • Let's consider ABCD is a cylinder. Where,
• Let Height of cylinder be h m. ⠀⠀━━━━━━━━━━━━━━━━━━━⠀ « Now, By using the formula, → 2πr (r + h) = 3872 → 2 × 22/7 × 14(14 + h) = 3872 → 2 × 22 × 2(14 + h) = 3872 → 14 + h = 3872/88 → 14 + h = 44 → h = 44 - 14 → h = 30cm ⠀⠀━━━━━━━━━━━━━━━━━━━⠀ « Now, Let's find volume, As we know that, → Volume = πr²h → 22/7 × 14² × 30 → 22/7 × 196 × 30 → 22 × 28 × 30 → 18480cm³ ∴ Hence, Volume of the cylinder is 18480cm³. |
|