A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The
cylinder portion of the capsule is 8 millimeters long and has a diameter of 6 millimeters.
What is the volume of the figure? Use 3.14 for
Round to the nearest hundredth.
Recall the formulas V-Bh and
226 08 cubic millimeters
310.86 cubic millimeters
339.12 cubic millimeters
1808 64 cubic millimeters

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder

so

step 1

Find the volume of the cylinder

The volume is given by

where

B is the area of the base of cylinder

h is the height of cylinder

we have

we have

----> the radius is half the diameter

substitute

step 2

Find the volume of the sphere

The volume is given by

we have

----> the radius is half the diameter

substitute

step 3

Adds the volumes

step-by-step explanation:

do you have a copy of the table?

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x