find the volume and total surface area of a right circular solid cylinder whose radius and height respectively are 14cm and 12cm
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Required Answer :
- The volume of a right circular solid cylinder = 12320 cm³
- The total surface area of the right circular cylinder = 2992 cm²
Explanation :
We have,
- Radius = 14 cm
- Height = 20 cm
To find,
- The volume and total surface area of a right circular solid cylinder
Solution,
Formula to calculate the volume of a right circular solid cylinder :-
- Volume = πr²h
where,
- Take π = 22/7
- r = radius
- h = height
Substituting the given values :-
⟶ Volume = 22/7 × 14 × 14 × 20
⟶ Volume = 22 × 2 × 14 × 20
⟶ Volume = 12320
Therefore, the volume of a right circular solid cylinder = 12320 cm³
Formula to calculate the total surface area of the right circular cylinder :-
- Total surface area = 2πr(h + r)
Substituting the given values :-
⟶ Total surface area = 2 × 22/7 × 14(14 + 20)
⟶ Total surface area = 2 × 22 × 2(34)
⟶ Total surface area = 2992
Therefore, the total surface area of the right circular cylinder = 2992 cm²
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