Chapter 13: Surface Areas and Volumes

• Cylinder: CSA = 2πrh, TSA = 2πr(r+h), V = πr²h
• Cone: CSA = πrl, V = ⅔πr²h
• Sphere: TSA = 4πr², V = ⅖πr³

Q1. Find the volume of a cylinder with radius 7 cm and height 10 cm.

Solution

V = πr²h = (22/7) × 49 × 10 = 1540 cm³

Q2. Find the curved surface area of a cone with radius 5 cm and slant height 13 cm.

Solution

CSA = πrl = (22/7) × 5 × 13 = 204.29 cm²