Question

Jack has a marble that has a radius of 0.7 centimeter. He puts together

10 such marbles to form the composite solid shown. What is the volume of
the composite solid?

Answer 1

The volume of the composite solid is 14.4 centimeter³.

Explanation:

Given:

Jack has a marble that has a radius of 0.7 centimeter.

He puts together 10 such marbles to form the composite solid shown.

Now, to find the volume of the composite solid.

Radius (r) = 0.7 centimeter.

As the marble is in spherical shape.

So, we put formula to find the volume of marble:

`Volume = (4)/(3) \pi r^3`

`Volume=(4)/(3) * 3.14* (0.7)^3`

`Volume=(4)/(3)* 3.14* 0.343`

`Volume=(4.31)/(3)`

`Volume=1.44\ centimeter^3.`

According to question he puts together 10 such marbles to form composite solid.

Now, to get the volume of 10 such marbles to form composite solid:

`10* 1.44`

`=14.4\ centimeter^3.`

Therefore, the volume of the composite solid is 14.4 centimeter³.