Question

solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height3.2 cm are made Find the number of such cones
formed

Answer 1

Radius of sphere = 5.6cm

Radius of cone = 2.8cm

Height of cone = 3.2cm

Let number of cones be x

Volume of sphere = 4/3 × 22/7 × 5.6^3= 735.91cm^3

Volume of each cone = 1/3 × 22/7 × 2.8^2 × 3.2 = 26.28cm^3

Number of cones x = 735.91/26.28

=28 cones

Hope it helps..!

Answer 2

Answer:

The number of cones formed is 28 .

Step-by-step explanation:

Given :  

Radius of solid metallic sphere , R = 5.6 cm  

Radius of solid cone , r = 2.8 cm  

Height of the solid cone , h = 3.2 cm

Number of cones = Volume of the solid metallic sphere / Volume of the Solid cone

= 4/3πR³ / 1/3πr²h

= 4R³ / r²h

= 4 × (5.6)³ / 2.8² × 3.2

= (4 × 5.6 × 5.6 × 5.6) / (2.8 × 2.8 × 3.2)

=  2 × 2 × 7

Number of cones = 28

Hence, Number of cones is 28 .

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