Question

A metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.

Answer 1

Answer:

Number of Smaller cones obtained is 126.

Step-by-step explanation:

SOLUTION:

Given :  

Radius of solid metallic sphere, R = 10.5 cm

Radius of a cone , r = 3.5 cm

Height of a cone ,h = 3 cm

Here, a metallic sphere is melted and recast into a smaller cones.

Number of Smaller cones,n  = Volume of metallic sphere / Volume of cone

n = 4/3 πR³ / ⅓ πr²h  

n = 4R³ / r²h

n = 4 × 10.5³ / (3.5)² × 3

n = (4 × 10.5 × 10.5 × 10.5)/ (3.5 × 3.5 × 3)

n = (4 × 3 × 3 × 10.5)/ (3)

n = (4 × 3 × 10.5) = 126

n = 126

Hence, number of Smaller cones obtained is 126.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

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