Question

The thickness of a hollow metallic cylinder is 2Cm.It is 35cm long and its inner radius is 12cm.find the volume of metal required to make the cylinder, assuming it is open,at either end.

Answer 1

given:

height(h)=35 cm; inner radius(r)= 12cm; thickness(t)=2 cm; outer radius(R)=t+r=12+2=14cm.

solution:

volume of metal required to make the cylinder: π(R²-r²)h

=22/7{(14*14)-(12*12)}35

=22*(196-144)*5 (35÷7=5)

=110*52 (22*5=110)

=5720

∴volume of metal required to make the hollow cylinder=5720 cm³

Answer 2

Answer:

$5720 cm^2$

Step-by-step explanation:

Inner radius of cylinder r = 12 cm

Thickness = 2 cm

Outer radius R  = 12+2 = 14 cm

Height = 35 cm

It is a hollow cylinder

Volume of metal required to make cylinder =  Outer volume - Inner volume

                                                                       =$\pi R^2 h - \pi r^2 h$

                                                                       =$\frac{22}{7} \times 35 \times (14^2-12^2)$

                                                                       =$5720 cm^2$

Hence the volume of metal required to make the cylinder, assuming it is open,at either end. is $5720 cm^2$