Question

the radius of a solid metallic sphere is 10 centimetre if it is melted and recast into small cones of 5 10 cm and base radius 5 cm find the number of small cone is formed​

Answer 1

$\huge\underline\red{\sf CorrectQuestion :-}$

★ Thee radius of a solid metallic sphere is 10 centimetre if it is melted and recast into small cones of Height 5 cm and base radius 5 cm find the number of small cone is formed.

Given:

• Radius of sphere is 10cm
• Height of small cone is 5 cm
• Base radius of small cone is 5 cm

To Find:

• Number of small cones formed

Solution:

★ Volume of sphere = 4/3πr³ ★

★ Volume of cone = 1/3πr²h ★

A/q

$\small\implies{\sf }$ 4/3πr³ = 1/3πr²h ( Cancel same terms from both sides )

$\small\implies{\sf }$ 4r³ = r²h

$\small\implies{\sf }$ 4 x 10 x 10 x 10 = 5 x 5 x 5

$\small\implies{\sf }$ 4000 = 125

$\small\implies{\sf }$ No. Of cones = 4000/125 = 32

Hence, Number of small cone formed will be 32

Answer 2

Here

height of cone is 10 cm

refer this... I hope it will help you