Question

A Home chocolate maker has one spherical chocolate of radius 10cm. With the same amount of material, how many small sphere of chocolates of radius 2.5 cm can be made? ONLY THE SMARTEST CAN DO THIS

Answer 1

Answer:

The answer is in the attachment.

Answer 2

Answer:

Number of small spheres can be made = 64.

Step-by-step explanation:

• Sphere: A sphere is a 3 dimensional geometrical shape. Example - football.
• Volume : Volume indicates the capacity. Here the amount of chocolate can be measured by measuring the volume.
• The SI unit of volume is m³.
• The volume of sphere is, V =  $\frac{4}{3}$$\pi$$r^3$.

         r = radius of the sphere.

• Calculation:

        Step-1; r = 10 cm, V = $\frac{4}{3}$ × $\pi$ × $10^3$ = 4188.8 m³

        Step-2; r = 2.5 cm, V = $\frac{4}{3}$ × $\pi$ × $2.5^3$ = 65.45 m³

        Step-3; By 65.45 m³ amount of chocolate sphere made = 1

              By 4188.8 m³ amount of chocolate sphere made = 4188.8/65.45

                                                                                                = 64

∴ 64 small spheres can be made.