a metallic sphere of radius 10 5 cm is melted and then recast into small cones ,each of radius 3 - Maths - Surface Areas and Volumes

Question

a metallic sphere of radius 10 5 cm is melted and then recast
into small cones ,each of radius 3 5 cm and height 3cm find how
many cones are obtained

Rayya Halim · Accepted Answer

Given : radius of sphere =10 5 cm, radius of cone = 3 5 cm , height of cone = 3 cm Volume of the metallic sphere= $\frac{4}{3} Π {(r)}^{3} = \frac{4 \times 22 \times {(10 5)}^{3}}{21} = 4851 {c m}^{3}$ Volume of one cone = $\frac{1}{3} Π r^{2} h = \frac{22 \times {(3 5)}^{2} \times 3}{21} = 38 5 {c m}^{3}$ Number of cones obtained = $\frac{v o l u m e o f m e t a l l i c s p h e r e}{v o l u m e o f o n e c o n e} = \frac{4851}{38 5} = 126 c o n e s$

a metallic sphere of radius 10.5 cm is melted and then recast into small cones ,each of radius 3.5 cm and height 3cm .find how many cones are obtained.