Chapter 9 Class 8 Mensuration

Serial order wise

Last updated at April 16, 2024 by Teachoo

Ex 9.3, 2 Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area? It looks like Volume of Cylinder B is bigger Letβs find volume and surface area of both cylinder Height = 14 cm Radius = 7/2 Volume = Οr2h = ππ/π Γ π/π Γ π/π Γ 14 = 11 Γ 1 Γ 7 Γ 7 = 539 cm3 Height = 7 cm Radius = 14/2 = 7 Volume = Οr2h = ππ/π Γ 7 Γ 7 Γ 7 = 22 Γ 1 Γ 7 Γ 7 = 1078 cm3 Height = 14 cm Radius = 7/2 Surface Area = Total surface area of cylinder = 2Οr(h + r) = 2 Γ ππ/π Γ π/π (14 + π/π) = 2 Γ 22/7 Γ 7/2 Γ ((14 Γ 2 + 7)/2) = 22 Γ 35/2 = 11 Γ 35 = 385 cm2 Height = 7 cm Radius = 14/2 = 7 Surface Area = Total surface area of cylinder = 2Οr(h + r) = 2 Γ ππ/π Γ 7 (7 + 7) = 2 Γ 22/7 Γ 7 Γ 14 = 2 Γ 22 Γ 14 = 616 cm2 Hence, Volume of Cylinder B is bigger, and Surface Area of Cylinder B is bigger