Question

a cylinder is open at both ends and is made of 1.5 CM thick metal its external diameter is 12 cm and height is 84 cm what is the volume of metal used in making a cylinder has opened the weight of the cylinder is 1 cm cube of the metal with 7.5 Ram

Answer 1

Answer:

Volume of material is $4158cm^3$

Weight of the cylinder is $31185 gm$

Step-by-step explanation:

Given : A cylinder is open at both ends and is made of 1.5 CM thick metal its external diameter is 12 cm and height is 84 cm.

To find : What is the volume of metal used in making a cylinder has opened the weight of the cylinder is 1 cm cube of the metal with 7.5 Ram?

Solution :

There is a large cylinder whose diameter is 12 cm and from this cylinder a cylinder of radius 6 cm has been cut out.

So volume of external cylinder,

$V_e=\pi r^2 h$

$V_e=\pi 6^2\times 84$

$V_e=3024\pi$

Now volume of inner cylinder

$V_i=\pi (6-1.5)^2\times 84$

$V_i=\pi (4.5)^2\times 84$

$V_i=1701\pi$

Therefore, Volume of material is

$V_e - V_i= 3024\pi - 1701\pi = 1323\pi$

Taking π as 22/7,

Volume of material is $1323\times \frac{22}{7}=4158cm^3$

Weight of the cylinder is $4158\times 7.5=31185 gm$