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Answer- A cylinder is a 3-D shape with 3 faces. The top and bottom surfaces are flat while there is one curved surface too. Formulae to remember- 1. Curved Surface Area=2πrh sq. units 2. Total Surface Area= 2πr(r+h) sq. units 3. Volume= πr^2h cubic units Here, r= radius and h= height. See the following attachment for solutions of the question.
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Given :-
The diameter of the cylinder = 20cm
Therefore it's radius = 20/2 = 10cm
The curved surface area of the cylinder is given = 1000cm²
We know the formula for solving for the CSA (curved surface area) of a cylinder, that is 2πrh
Therefore 2πrh = 1000cm²
==> 2 × 3.14 × 10 × h = 1000cm²
==> 62.8 × h = 1000cm²
==> h = 1000/62.8
==> h = 15.9 cm (approx)
The height of the cylinder is 15.9cm.
Now we have to find the volume of the cylinder.
The formula for finding the volume of a cylinder is πr²h
Hence, the volume of the cylinder = πr²h
= 3.14 × 10 × 10 × 15.9
= 34980/7
= 4992.6cm³
HOPE THIS HELPS..!!
The diameter of the cylinder = 20cm
Therefore it's radius = 20/2 = 10cm
The curved surface area of the cylinder is given = 1000cm²
We know the formula for solving for the CSA (curved surface area) of a cylinder, that is 2πrh
Therefore 2πrh = 1000cm²
==> 2 × 3.14 × 10 × h = 1000cm²
==> 62.8 × h = 1000cm²
==> h = 1000/62.8
==> h = 15.9 cm (approx)
The height of the cylinder is 15.9cm.
Now we have to find the volume of the cylinder.
The formula for finding the volume of a cylinder is πr²h
Hence, the volume of the cylinder = πr²h
= 3.14 × 10 × 10 × 15.9
= 34980/7
= 4992.6cm³
HOPE THIS HELPS..!!
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