Question

Can u help me with this sum i need the process of this sum

Answer 1

Answer:

h = 1199.39 cm

Step-by-step explanation:

Given dimensions for slab (cuboid)

l = 60cm, b = 20cm, h = 28.26cm

Calculating volume for slab

V(slab) = l*b*h = 60*20*28.26 = 33912cm³

This volume will be same for the pipe as well as the entire slab is used.

In a pipe there are 2 cylinders one with outside wall as radius and one with inner wall as radius.

So the formula for volume of pipe would be

V(pipe) = π*h*(R²out - R²in)

where Rout is radius of outer cylinder and Rin is radius of inner cylinder.

Now values given are as follows:

Dout = 10cm, Width of pipe = 1cm

So Rout = Dout/2 = 10/2 = 5cm

Width of pipe = Rout - Rin

1 = 5 - Rin

Rin = 4

Now substituting values in volume of pipe equation we have

V(pipe) = π*h*(R²out - R²in)

Since V(pipe) = V(slab) we have

33912 = π*h*(5²-4²)

h = 33912/(9π)

h = 1199.39 cm