A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter of 3cm. If a box contains 20 pieces of candy, how much chocolate does the box contain?

282.8 cm³

Step-by-step explanation:

Since the volume of each chocolate candy is in the shape of a sphere, its volume is the volume of a sphere.

The volume of a sphere is given by V = 4πr³/3 where r = radius of the sphere = diameter/2.

Since diameter = 3 cm, r = 3 cm/2 = 1.5 cm

So, the volume of each candy is V = 4πr³/3 = 4π(1.5)³/3 = 42.412 cm³/3 = 14.14 cm³.

So, each candy contains 14.14 cm³ of chocolate.

Since each box of candy contains 20 pieces of candy, the quantity of chocolate contained would be 20 times V = 20V = 20 × 14.14 cm³ = 282.8 cm³

So, each box contains 282.8 cm³ of chocolate.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743