Multiple choice

If a cone of radius 10.5 cm and height 12 cm is melted and formed in form of cylinder of the same radius, what will be the height of this cylinder? यदि 10.5 सेमी त्रिज्या और 12 सेमी ऊंचाई का शंकु समान त्रिज्या के बेलन के रूप में पिघलाया जाता है तो इस सिलेंडर की ऊंचाई क्या होगी।

  1. 8 cm/सेमी

  2. 1.33 cm/सेमी

  3. 2 cm/सेमी

  4. 4 cm/सेमी
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of cone = (1/3)×π×10.5²×12 = 441π cm³. Cylinder has same radius 10.5 cm, so height h: π×10.5²×h = 441π. Solving: h = 441/110.25 = 4 cm. Volume remains constant during melting.

Keep practicing — related questions