Extend mensuration to cylinders — finding surface area, volume, and capacity for this common 3D shape.
The volume of a cylinder is found using V = πr²h, where r is the radius of the circular base and h is the height. Volume tells you how much space the cylinder occupies.
Find the volume of a cylinder with radius 7cm and height 10cm. (Use π = 22/7)
22/7 × 7² × 10 = 22/7 × 49 × 10 = 1540 cubic cm
Find the volume of a cylinder with radius 3cm and height 14cm. (Use π = 22/7)
22/7 × 9 × 14 = 396 cubic cm
The curved surface area of a cylinder is 2πrh. The total surface area (including both circular ends) is 2πrh + 2πr², which simplifies to 2πr(h + r).
Find the curved surface area of a cylinder with radius 7cm and height 10cm. (Use π = 22/7)
2 × 22/7 × 7 × 10 = 440 square cm
Find the total surface area of a cylinder with radius 5cm and height 8cm. (Use π = 22/7)
2 × 22/7 × 5 × (8+5) = 2 × 22/7 × 5 × 13 = 2860/7 ≈ 408.57 square cm
1. Find the volume of a cylinder with radius 14cm and height 20cm. (Use π = 22/7)
2. Find the volume of a cylinder with radius 4cm and height 21cm. (Use π = 22/7)
3. Find the curved surface area of a cylinder with radius 10cm and height 15cm. (Use π = 22/7)
4. Find the total surface area of a cylinder with radius 7cm and height 10cm. (Use π = 22/7)
5. A cylindrical water tank has radius 3.5m and height 4m. Find its capacity in cubic meters. (Use π = 22/7)