A company designs its packaging so that it is a cylinder with a diameter of 4 inches and a height of 7 inches with a cone on top that has a diameter of 4 inches and a height of 3 inches. Find the volume of this figure.
A)
32π in3
B)
44π in3
C)
110π in3
D)
128π in3

Question

A company designs its packaging so that it is a cylinder with a diameter of 4 inches and a height of 7 inches with a cone on top that has a diameter of 4 inches and a height of 3 inches. Find the volume of this figure.
A)
32π in3	
B)
44π in3	
C)
110π in3	
D)
128π in3

love_ranaa · Answer

First, you are supposed to use the radius, which is half of the diameter. Usually, you should divide the diameter by 2 to get half, but since its only 4, you could subtract 2, since half of 4 is 2 :)

love_ranaa · Answer

The formula for volume of a cylinder is π x r^2 x height

anonymous · Answer

Perfect... But am I supposed to solve both of them then add them? @love_ranaa

love_ranaa · Answer

1. square the radius ( it becomes 4)
2. multiply the squared radius the height ( 4 x 7) which equals 28
3. your answer is pi x 28

love_ranaa · Answer

I think you are since 28 isn't an answer choice :/

anonymous · Answer

Oh ok... Thank you for your help

love_ranaa · Answer

Formula for volume of a cone is the same as a cylinder except you have to divide your answer by 3

love_ranaa · Answer

Do you want me to help you find the volume of the cone ?

anonymous · Answer

No thank you, @love_ranaa, I got it