Example 1: Fill in the given values to find the volume: V = (π·r2·H) ÷ 3 V = (π·82·12) ÷ 3 V = 804.2 cm3   rounded to 1 d.p. For simplicity, we'll assume that all measurements are in centimetres Example 2: The volume is 1200 cm3. Find the radius by solving backwards. V = (π·r2·H) ÷ 3 1200 = (π·r2·15) ÷ 3 3600 = π·r2·15 76.39 = r2    dividing 3600 by π and by 15  8.7 = r   rounded to 1 d.p. Example 3: Find r first. Then find the volume. r2 + 132 = 252 r2 = 625 - 169 r2 = 456      r = 21.35 Now find the volume: V = (π·r2·H) ÷ 3 V = (π·(21.35)2·13) ÷ 3 V = 6205.4 cm3 Example 4: The volume is 2200 cm3. The diameter is 32 cm. Find the height. V = (π·r2·H) ÷ 3 2200 = (π·162·H) ÷ 3    using radius 16 6600 = π·162·H 8.2 cm = H    dividing both sides by π·162 Now let's look at Surface Area ... Intro | Volume of a Cone | Surface Area of a Cone | Mixed Problems Resources Content, HTML, graphics & design by Bill Willis 2024