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

Answer:

The volume of the composite solid is 14.4 centimeter³.

Step-by-step 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:

$Volume = \frac{4}{3} \pi r^3$

$Volume=\frac{4}{3} \times 3.14\times (0.7)^3$

$Volume=\frac{4}{3}\times 3.14\times 0.343$

$Volume=\frac{4.31}{3}$

$Volume=1.44\ centimeter^3.$

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:

$10\times 1.44$

$=14.4\ centimeter^3.$

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