Question

a solid sphere of radius 10.5 cm is melted and recast in to smaller solid cones, each of radius 3.5cm and height 3cm. find the number of cones so formed

Answer 1

Answer:

126

Step-by-step explanation:

Find the volume:

Volume of a sphere = 4/3 πr³

Volume of solid = 4/3 π(10.5)³ = 4851 cm³

Find the volume of each cone:

Volume of a cone = 1/3πr²h

Volume of the cone =  1/3π(3.5)²(3) = 38.5 cm³

Find the number of cones:

Number of cones = 4851 ÷ 38.5 = 126

Answer: 126 cones