Consider this composite figure that is made of two half spheres and a cylinder. A composite figure is comprised of one cylinder and two half spheres. The cylinder has a height of 9 millimeters and radius of 5 millimeters.

Find the volume of each shape in the composite figure.

Sphere V = 4
3
πr3

Cylinder V = Bh

If two half spheres equal one sphere, what is the volume of the two half spheres in the composite figure?

V =
π mm3

What is the volume of the cylinder?

V =
π mm3

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.