Pipe Dream

We can use the formula $V=A_b \times L$ where $A_b$ = area of the inlet of the pipe and $L$ = length of the pipe. Note that this formula is the same as the formula for the volume of a cylinder. So we have

$V=A_b \times L=\dfrac{\pi}{4}\left(\dfrac{6}{\sqrt{\pi}}\right)^2(300)=\dfrac{36(300)}{4}=$ $\color{#D61F06}\large \boxed{2700}$

The formula for the volume of the cylinder is :

PI $r^{2}$ h

But here we know only diameter not the radius.

Note that radius is just the half of the diameter.

So radius = $\frac{3}{root PI}$

Height = 3 m

But we need to convert it into cm as the question asks.

So Height = Length = h = 300 cm

Applying the formula,

PI $r^{2}$ h

PI $\frac{3}{\sqrt{ PI^{2}}}$ 300

= PI * $\frac{9}{PI}$ * 300

= 9 * 300

= 2700

So, the volume is 2700

Area of Torus = 2(pi)^2 * Rr^2, R=distance from center of the torus to the tube ; r=radius of the tube. Here, R=300cm; r = 3/(sqrt(pi)) cm

$\text{volume = area of the base x length} = \dfrac{\pi}{4}\left(\dfrac{6}{\sqrt{\pi}}\right)^2(300)=2700 ~cm^3$

3m = 300cm... 6/sqrt of pi = 3.3851 cm (radius)

then use the formula for the volume of cylinder... V = pi * (r^2) * 300 cm = 2700 cc (ans)

The pipe becomes of cylindrical shape having length 3 Meter that is 300 cm.Since dia given is 6/underroot pie so radius is half of it ,that is 3/underroot pie. Volume with above will be pia X r2 Xheight,substituting above we get 2700 cm3 Ans K.K.GARgG,India

its simple apply the formula for volume of a right circular cylinder