The radius and volume of a cylinder are 14 cm and 12,936 cm3 respectively. Then height of the cylinder is
एक बेलन की त्रिज्या और आयतन क्रमशः 14 सेमी और 12,936 सेमी³ हैं। तो बेलन की ऊँचाई क्या होगी?
Solution (Hindi)
दिया है:
- त्रिज्या (r) = 14 सेमी
- आयतन (V) = 12,936 सेमी³
बेलन का आयतन सूत्र है: V = πr2h
यहाँ, π = 22/7
तो,
(22/7) × 14 × 14 × h = 12,936
616h = 12,936
ऊँचाई, h = 12,936 / 616 = 21 सेमी
इसलिए, बेलन की ऊँचाई 21 सेमी है। ✅
Explanation (English)
Given:
- Radius (r) = 14 cm
- Volume (V) = 12,936 cm3
The formula for the volume of a cylinder is: V = πr2h
Where π = 22/7
Substituting the values,
(22/7) × 14 × 14 × h = 12,936
616h = 12,936
Height, h = 12,936 / 616 = 21 cm
Therefore, the height of the cylinder is 21 cm.
Quick Revision / Key Points
- The volume of a cylinder is given by V = πr2h.
- Given radius r = 14 cm and volume V = 12,936 cm3, substitute values to find height.
- Using π = 22/7, calculate the product πr2 = 616.
- Divide the volume by 616 to get height h = 21 cm.