Question

the shape length is 20cm has an inner radius of 3cm, and an outer radius of 5cm. How can I find the volume of a tube ?

Answer 1

V = 320π cm³ ≈ 1005.31 cm³

Step-by-step explanation

The volume of the tube is the difference between the volume of the outer cylinder and the volume of the inner cylinder.

The volume of a cylinder of length h and radius r is,

`V=\pi\cdot r^2\cdot h`

The length of both cylinders of this tube is the same, h₁ = h₂ = 20cm. The radius of the outer cylinder r₂ = 5cm and the radius of the inner cylinder is r₁ = 3cm. The volume of the tube is,

`V_(tube)=V_2-V_1=(\pi\cdot r^2_2\cdot h)-(\pi\cdot r^2_1\cdot h)=\pi\cdot h\cdot(r^2_2-r^2_1)`

Replace with the values and solve,

Hence, the volume of the tube is,

`V_(tube)=320\pi cm^3\approx1005.31cm^3`