Question

find the weight of a solid cylinder of radius 10.5 cm and height 60 CM if the material of the cylinder weighs 5 gram per centimetre cube​

Answer 1

Answer :-

Weight of a solid cylinder is 103950 gm.

Explanation :-

Finding volume of the solid cylinder

Radius of the solid cylinder (r) = 10.5 cm

Height of the solid cylinder (h) = 60 cm

We know that

Volume of the cylinder = πr²h

= (22/7) * (10.5)² * 60

= (22/7) * 110.25 * 60

= (22/7) * 6615

= 22 * 945

= 20790 cm³

i.e Volume of the solid cylinder = 20790 cm³

Finding the weight of the solid cylinder 20790 cm³

1 cm³ volume = 5 gm

20790 cm³ volume = 5 * 20790 = 103950 gm

∴ the weight of a solid cylinder is 103950 gm.

Answer 2

Given

$\sf radius \:of \:the \:base \:of \:the\: cylinder (r)=10.5 cm$

$\sf height \:of \:the \:cylinder =60cm$

To find

weight of the cylinder

METHOD

$\sf let \:us\: find \:volume\: of \:the\: cylinder$

we know that

$\sf \underline{volume \:of \:the\: cylinder=\pi r^2h}$

Now

$volume \: of \: the \: cylinder \\ = \dfrac{22}{7} \times 10.5 \times 10.5 \times 60$

$= > \dfrac{22}{7 } \times 6615$

$= > 22 \times 945$

$= > 20790 {cm}^{3}$

$\boxed{ \sf \: volume = 20790 {cm}^{3} }$

But it is given that

it weighs 5 gm per cubic centimeter

$\sf weight \:of\: the\: cylinder \\ =volume×5$

$\sf=>20790×5=103950 grams$

$\boxed{\sf weight =103950 grams }$