Question

!HELP! SHOW WORK PLEASE SO I CAN UDNERSTAND!

A paper drinking cup in the shape of a cone has a height of 10 centimeters and a diameter of 8 centimeters. Which of the following is the closest to the volume of the cup in cubic centimeters?
167 cm³
209 cm³
670 cm³
502 cm³

Answer 1

The formula for the volume of a cone is π r²h/3. You are given the height and the diametre of the cone. You need the radius which is half the diametre (4). So, f you were to write this out, it would look like this:

3.14 × 4² × 10/3

your answer is going to be 167 cm³

Answer 2

Ok.

The volume of a cone is the volume of a cylinder over 3.

The volume of a cone is:

`(1)/(3) \pi r^(2)h`

This problem gives us the diameter, which is twice of the radius. So, we'll just half it.
Radius (me) = 4 cm.

Substitute our given values into the equation.

`(1)/(3) \pi (4)^(2)h \ or \ (1)/(3) \pi (4)^(2)(10) \ or \ (1)/(3) \pi (16)(10)`

Multiply

`(1)/(3) \pi(160) \ or \ (1)/(3) (3.14)(160) \ or \ 1.047(160)`

Multiply

`167.52 \ cm^(3)`

This would make
`167 \ cm^(3)` the closest option.