ion :A toy is in the shape of a SOLID cylinder SURMOUNTED by a conical top . If the height and diameter of the CYLINDRICAL part are 21 cm and 40 cm respectively, and the height of cone is 15 cm, then find the total surface area of the toy .                             [ π = 3.14, be taken ]★ SOLUTION :[ Read the question twice ]Total Surface Area = TSACurved Surface Area = CSA★ ════════════════════ ★⧪ For Cylindrical part :Height (h) = 21 cmDiameter (d) = 40 cm⇒ Radius (r) = 20 CMCSA of Cylinder = 2πrh⧪ For Conical part :Height (h) = 15 cmRadius of cone = Radius of cylinder ( Since both bases are joined )Radius (r) = 20 cmApply Pythagoras theorem to find slant height (l) ,➠ l² = r² + h²➠ l² = (20)² + (15)²➠ l² = 400 + 225➠ l² = 625➠ l² = (25)²➠ l = 25 cmSlant height (l) = 25 cmCSA of cone = πrl★ ════════════════════ ★TSA of Toy = CSA of Cylinder + CSA of Cone + Area of base of cylinder➠ TSA of Toy = 2πrh + πrl + πr²CSA of Cylinder = 2πrh➠ CSA of Cylinder = 2(3.14)(20)(21)➠ CSA of Cylinder = 2637.6 cm²  CSA of Cone = πrl➠ CSA of Cone = (3.14)(20)(25➠ CSA of Cone = 1570 cm²  Area of base of cylinder = πr²➠ Area of base of cylinder = (3.14)(20)²➠ Area of base of cylinder = 1256 cm² TSA of Toy = CSA of Cylinder + CSA of Cone + Area of base of cylinder➠ TSA of Toy = 2637.6 + 1570 + 1256➠ TSA of Toy = 5463.6 cm²  ★ ════════════════════ ★