Question

a solid wax sphere of radius 5.6 is melted to make conical candles if diameter of base 5.6cm and height 3.2cm . find number of such candle prepared

Answer 1

Answer:

The number of candles produced will be 28

Step-by-step explanation:

Given radius of the sphere = 5.6 cm

volume of spherical wax = 4πr³/3

= 4/3 x 22/7 x 5.6³

diameter of the cone = 5.6

=> radius of the cone = 5.6/2 = 2.8 cm

height of the cone = 3.2 cm

volume of the conical candle = πr²h/3

= 1/3 x 22/7 x 2.8² x 3.2

Let n number of such candles are formed, so

n x volume of cone = volume of sphere

=> n x (1/3 x 22/7 x 2.8² x 3.2) = 4/3 x 22/7 x 5.6³

=> n = ( 4 x 5.6 x 5.6 x 5.6)/(2.8 x 2.8 x 3.2)

=> n = 16 x 5.6/3.2 = 28

Hence the number of candles produced will be 28