right circular cone is 5.4 cm height and radius of its base is 2 cm It is melted and recast into another right circular cone with radius of base is 1.5 cm find the height of the new cone formed
Answers
Answered by
100
the volume of first cone = volume of the second cone
The answer is 9.6 cm
The answer is 9.6 cm
Answered by
46
Answer:
Step-by-step explanation:
H=5.4 cm. (first cone)
R=2cm,
Second cone only given radius = 1.5cm
So, the volume of first cone=the volume of recast melted cone
1/3πr*2h = 1/3πr*2h
1/3 is cut out by 1/3 (cross multiply)
π is cut out by π (cross multiply)
R-2×2 × H-5.4 = R-1.5×1.5×h
5.4×4 =1.5×1.5×h
21.6/1.5=1.5×h
14.4=1.5×h
14.4/1.5=h
9.6 is the correct answer
Thank you
Similar questions
Math,
1 year ago
Social Sciences,
1 year ago