Question

A solid right circular cone or radias 4 cm and height 7cm is melted to form a sphere . Find the radius of sphere

Answer 1

$\large \tt AHOY!! \:$

ATQ, A solid right circular cone or radias 4 cm and height 7cm is melted to form a sphere. we have to find the radius of the sphere.

volume of the cone = volume of the sphere

given :-

height of the cone = 7cm

radius of the cone = 4cm

formula to find the volume of a cone is 1/3πr²h

= 1/3 × 22/7 × 4 × 4 × 7

= 22/3 × 4 × 4

= 352/3cm³

therefore volume of the sphere is also 352/3cm³

now, we know that 4/3πr³ = volume of sphere

=> 4/3πr³ = 352/3cm³

=> 4/3 × 22/7 × r³ = 352/3cm³

=> 88/21 × r³ = 352/3cm³

=> r³ = 352/3 × 21/88

=> r³ = 4 × 7

=> r³ = 28

=> r = ³√28

=> r = 3.03cm (approx)

$\large \tt HOPE \: THIS \: HELPS!!$