a pop corn cup is in the shape of a cone. the slant height of the cone is 7 inches and the diameter is 6.8 inches. what is the volume of the cone? use 3.14 for pi

Answer 1

Hi Lily R

Draw your cone with diameter 6.8 and slant height, l = 7, drop a perpendicular from the tip of your cone to its base this is your height if drawn correctly this should also split your diameter in half and your get a Right Triangle with a base that is equal to your radius with a hypotenuse that is your slant height.

The Volume of a cone is (1/3)πr²h

Given the diameter is 6.8 you can calculate the radius because it is half the diameter

r = 6.8/2 = 3.4

l = slant height = 7

You can use the Pythagorean Theorem to calculate the height

Then just plug everything into the Volume Formula for a cone

You can confirm the diagram by looking up the Formula for the Volume of a cone.

Rounding, I got 74.05 in³ check my math.

I hope this helps. I hope you can see the image below.