Question

tthe circumference of the base of a cylindrical drum is 44 cm and the sum of its radius and height is 27 cm find the volume of the cylinder ​

Answer 1

Answer:

The circumference of the cylinder base is

= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.

That is ( 2 )(pi)( r ) = ( 44 )cm or

( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.

Using aprrox ( pi ) as ( 3.14 ) for this calculation.

Area of the cylindrical base is ( pi )*( radius )^2

Therefore area of base

= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.

Volume of Cylinder

Volume = Area of base multiplied by cylinder height or

= ( 154.1415 ) * ( 7 )

= ( 1079.0 ) cubic centimetres approximately with some slight loss in accuracy due to rounding of pi.

Lateral Surface Area

The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.

= ( 44 )*( 7 ) = ( 308 ) cm square Answer.

Hope this helps you.