Verified by Ajay Kumar
A solid right circular cylinder is melted down and recast into a right circular cone with the same base radius. If the cylinder's height is h, what is the height of the cone?
3h
6h
4h
5h
Answer: A
Volumes are equal: \(\pi r^2h=\frac13\pi r^2H\). Cancelling the common terms gives h = H/3, so H = 3h.
एक ठोस समकोणीय बेलन को पिघलाकर उसी आधार त्रिज्या के साथ एक समकोणीय शंकु में ढाला जाता है। यदि बेलन की ऊँचाई h है, तो शंकु की ऊँचाई क्या होगी?
3h
6h
4h
5h
उत्तर: A
दोनों ठोसों का आयतन समान है: \(\pi r^2h=\frac13\pi r^2H\)। समान पदों को काटने पर h = H/3 मिलता है, इसलिए H = 3h।
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