0. a pill has the shape of a cylinder with a hemisphere at each end. the height of the cylindrical portion 11
mm and the overall height is 18 mm.
(a) find the volume of the pill in cubic millimeters. round to the nearest cubic
millimeter.

(b) if the pill is to contain 1,000 milligrams of vitamin c, then how much vitamin c does the pill contain per
cubic millimeter? round to the nearest tenth of a cubic millimeter.
(c) another pill that is entirely spherical has a diameter of 10 millimeters and contains 1.5 milligrams of
vitamin c per cubic millimeter. how much less vitamin c does this second pill contain, rounded to the
nearest milligram, than the one pictured?

Part a) The volume of the pill is

Part b)

Part c)

Step-by-step explanation:

Part a) Find the volume of the pill in cubic millimeters

we know that

The volume of the pill is equal to the volume of the cylinder plus the volume of a sphere (two hemisphere is equal to one sphere)

so

we have

assume

substitute

Part b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per  cubic millimeter?

Divide 1,000 milligrams by the volume

Part c) Another pill that is entirely spherical has a diameter of 10 millimeters and contains 1.5 milligrams of  vitamin C per cubic millimeter. How much less vitamin C does this second pill contain, rounded to the

nearest milligram, than the one pictured?

step 1

Find the volume of the sphere

The volume of the sphere is equal to

we have

----> the radius is half the diameter

assume

substitute

step 2

Multiply the volume by 1.5 milligrams of  vitamin C per cubic millimeter

so

step 3

Find the difference

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743