What is the volume of the item described?
a capsule consisting of a cylinder of radius 3 mm and height 6 mm with a hemisphere on each end of radius 3 mm.
select the exact answer in terms of π and the approximate answer rounded to the nearest whole number.

254mm^3
90mm^3
54mm^3
170mm^3
81mm^3
283mm^3

*choose more than one*

Step 1

Find the volume of the cylinder

we know that

The volume of a cylinder is equal to

where

r is the radius of the cylinder

h is the height of the cylinder

we have

substitute  the values

Step 2

Find the volume of the two hemisphere

we know that

two hemisphere is equal to one sphere

The volume of the sphere is equal to

where

r is the radius of the sphere

we have

substitute

Step 3

Find the volume of the capsule

we know that

the volume of the capsule is equal to the volume of a cylinder plus the volume of the two hemisphere

so

therefore

the answer is

The volume of a capsule is

The volume of a capsule is

the degrees would remain the same ( the number to the left of the decimal point.

the multiply the decimal by 60 to get the minutes and use the numbers to the left of the decimal point.

then multiply the decimal portion of that by 60 for the seconds and round off as needed.

39 .956652

the 39 remains the degrees.

the minutes = 0.956652 x 60 = 57.39912

the minutes = 57

the seconds = 0.39912 x 60 = 23.95 = 24 ( rounded to nearest tenth)

so 39.956652 = 39 degrees, 57 minutes and 24 seconds

-75.159809

the -75 remains the degrees

the minutes = 0.159809 x 60 = 9.58854

the minutes = 9

the seconds = 0.58854 x 60 = 35.31, rounded to nearest tenth = 35.3 seconds

so -75.159809 = -75 degrees, 9 minutes and 35.3 seconds.

the first coordinate is north or south, since it it positive it is north.

the second number is east or west, because it is negative it is west.

39 degrees, 57 minutes and 24 seconds n

-75 degrees, 9 minutes and 35.3 seconds w