Question

The diagram below shows a cross-section of a metal pipe, that has a length of 50 cm.

The inner diameter of the pipe is 20 cm. The outer diameter of the pipe is 30 cm.

Calculate the volume of metal needed to make the pipe.

Answer 1

To calculate the volume of metal needed to make the pipe, subtract the volume of the inner cylinder from the volume of the outer cylinder.

Step-by-step explanation:

To calculate the volume of the metal needed to make the pipe, we need to find the difference between the volumes of the outer cylinder and the inner cylinder. The formula to find the volume of a cylinder is V = πr²h, where r is the radius and h is the height. First, let's calculate the volume of the outer cylinder:

V_outer = π(15 cm)²(50 cm) = 11250π cm³

Now, let's calculate the volume of the inner cylinder:

V_inner = π(10 cm)²(50 cm) = 5000π cm³

Finally, we can calculate the volume of the metal needed to make the pipe by subtracting the volume of the inner cylinder from the volume of the outer cylinder:

V_metal = V_outer - V_inner = 11250π cm³ - 5000π cm³ = 6250π cm³

Therefore, the volume of metal needed to make the pipe is 6250π cm³.

Answer 2

100

Step-by-step

all you have to do is add 20+30=50+50=100

volume is all the numbers added up