Question

The circumference of the Base of a cylinderical drum is 44 cm. and the sum of its radius and height is 27cm . find the volume of cylinder. ​

Answer 1

*Question:

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The circumference of the base of a cylinder is 44 cm and its height is 7 cm. What is the volume of the cylinder and its lateral surface area?

*Answer:

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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.

I have approximated ( 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 squared

Inherent Assumption

It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly. ☑️✅

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Answer 2

Answer:

(44)*(70) = (308)cm

Step-by-step explanation:

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