A powder tin has a square base with side 8 cm and height 13 cm. Another is cylindrical with the radius of its base 7 cm and its height 15 cm.
Find the difference in their capacities.
For a powder tin with a square base
Side of the square base = 8 cm Height = 13 cm
∴ Volume (v1) = 8 x 8 x 13 = 832 cm3 For a cylindrical powder tin
Radius of the base (r) = 7 cm Height (h) =15 cm
∴ Volume (v2) = r2h
∴ Difference in their capacities = v2 – v1 = 2310 – 832 = 1478 cm3.
Let the radius of the base of the cylinder be r cm.
h = 7 cm
Volume = 448 cm3
Lateral surface area = 2rh
Total surface area =
Volume of copper used in making the pipe = volume of the outer cylinder
– volume of the inner cylinder = R2h – r2h