Answer:
The volume of the figure given is:
Step-by-step explanation:
To find the volume of the figure in the picture, first, you must divide the figure in the two known figures there: a cylinder and a rectangular prism, now you can find the volume of each figure separated and at the last add the two volumes.
Volume of the cylinder.
The formula to find the volume of a cylinder is:
Where:
PI = 3,1416 approximately (In this case I´ll use the number without approximation, you can find this in the calculator).
r = radius (the distance from a side of the circle to the center of this, in this case, is 7 cm)
h = height (in this case is 7 cm too, you can find these values in the figure given)
Now we must replace the values:
Volume of the rectangular prism.
The volume of a rectangular prism is actually easy, you only must multiply the width, the length, and the height, so, the formula is:
When we replace the values given in the figure:
At the last, we add the two volumes found:
