Question

A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter tex]4\frac{2}{3}[/tex] cm and height 3 cm. Find the number of cones so formed.

Answer 1

Answer:

Number of Smaller cones formed is 672.

Step-by-step explanation:

SOLUTION:

Given :  

Diameter of a solid metallic sphere = 28 cm

Radius of solid metallic sphere, R = 28/2 = 14 cm

Diameter of a Smaller cone = 14/3 cm

Radius of a circular cone , r = ½ × 14/3 = 7/3 cm

Height of a Smaller cone ,h = 3 cm

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

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

n = 4/3 πR³ / ⅓ πr²h  

n = 4R³ / r²h

n = 4 × 14³ / (7/3)² × 3

n = (4 × 14 × 14 × 14)/ (49/9 × 3)

n = (4 × 14 × 14 × 14)/ (49/3)

n = (4 × 14 × 14 × 14) × 3/49

n = 672  

Hence, number of Smaller cones formed is 672.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

Answer:

State the safety measures in using electricity.