A right circular cone is 5.4 cm high andradius of its base is 2 cm. It

1.	A right circular cone is 5.4 cm high andradius of its base is 2 cm. It is melted andrecast into another right circular cone withradius of base as 1.5 cm. Find the height ofthe new cone formed.ie 01
Answer» 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 1/3πr2h = 1/3πr2h 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 h = 9.6 Like my answer if you find it useful! volume of first cone must be equal to vol of 2nd coneH is 9.6cm

A right circular cone is 5.4 cm high andradius of its base is 2 cm. It is melted andrecast into another right circular cone withradius of base as 1.5 cm. Find the height ofthe new cone formed.ie 01

Answer»

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

h = 9.6

Like my answer if you find it useful!

volume of first cone must be equal to vol of 2nd coneH is 9.6cm