14. Find the volume of a cylinder with the following dimensions.
(i) Radius of the base = 14 cm and height = 36 cm
(ii) Radius of the base = 21 cm and height = 1.5 m
(ii) Diameter of the base = 7 m and height = 5 m
Answers
Formula :-
- Volume of cylinder = πr²h
Answer 1 :-
Given :
- Radius of the base = 14 cm
- Height = 36 cm
Solution :-
⇒Volume of cylinder = πr²h
⇒Volume = 22/7 × (14)² × 36
⇒Volume = 22/7 × 14 × 14 × 36
⇒Volume = 22 × 2 × 14 × 36
⇒Volume = 44 × 504
⇒Volume of cylinder = 22176cm³
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Answer 2 :-
Given :
- Radius of the base = 21 cm
- Height = 1.5m = 150cm
Solution :-
⇒Volume of cylinder = πr²h
⇒Volume = 22/7 × (21)² × 150
⇒Volume = 22/7 × 21 × 21 × 150
⇒Volume = 22 × 3 × 21 × 150
⇒Volume = 66 × 3150
⇒Volume of cylinder = 207900cm³
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Answer 3 :-
Given :
- Diameter of base = 7m
- Radius = Diameter/2 = 3.5m
- Height = 5m
Solution :-
⇒Volume of cylinder = πr²h
⇒Volume = 22/7 × (3.5)² × 5
⇒Volume = 22/7 × 3.5 × 3.5 × 5
⇒Volume = 22/7 × 12.25 × 5
⇒Volume = 22 × 12.25 × 5 /7
⇒Volume = 1347.5/7
⇒Volume of cylinder = 192.5m³
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Answer:
Here are the required answers to your question :
1) Answer :
Radius = 14 cm
Height = 36 cm
Volume of cylinder = πr²h
= 22/7 * 14 * 14 * 36
= 22 * 2 * 14 * 36
= 22 * 28 * 36
= 22176 cm³
Hence, Volume of the cylinder is 22176 cm³
2) Answer :
Radius = 21 cm
Height = 1.5 m = 150 cm
Volume of cylinder = πr²h
= 22/7 * 21 * 21 * 150
= 22 * 3 * 21 * 150
= 22 * 63 * 150
= 207900 cm³
Hence, Volume of the cylinder is 207900 cm³
3) Answer :
Given Diameter = 7 m
So, radius = diameter/2 = 7/2 = 3.5 m
Radius = 3.5 m
Height = 5 m
Volume of cylinder = πr²h
= 22/7 * 3.5 * 3.5 * 5
= 22 * 0.5 * 3.5 * 5
= 192.5 cm³
Hence, Volume of the cylinder is 192.5 cm³
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