Question

9. A metallic sphere of radius 10.5 cm is melted and then recast into
smaller cones, each of radius 3.5 cm and height 3 cm. How many cones
are obtained?​

Answer 1

Answer:

126

Step-by-step explanation:

Let the radius of metallic sphere be R=10.5 cm and radius of cones be r= 3.5 cm and the height of the cones be h = 3 cm

Let the no. of cones be n.

So,

Volume of metallic sphere= Volume of the cone × n

4/3(πR^3)= n× 1/3(πr^2h)

4R^3= n × r^2 × h

4(10.5)^3= n× (3.5)^2 × 3

n = 4 (10.5)^3/(3.5)^2×3

n = 126

So no. of cones is 126.

Hope it helps☺️