At the school carnival popcorn was given out in paper cones like the one
shown(3-diameter and 5 being the height of the cone). Approximately how many cubic inches of popcorn can the cone hold?
1/3TT r^2 h
1/3 TT(1.5)^2(5)
11.78
is approximately 12 cubic inches of popcorn
looks good to me.
more common to use pi or π than TT, though.
thanks for checking my work
To find the volume of the cone, you can use the formula for the volume of a cone, which is given as:
V = (1/3)πr^2h
Where:
V = volume
π = Pi (approximately 3.14)
r = radius (half of the diameter)
h = height of the cone
In this case, the diameter of the cone is 3 inches, so the radius (r) would be half of that, which is 1.5 inches. The height (h) of the cone is given as 5 inches.
Plugging in these values into the formula:
V = (1/3)π(1.5)^2(5)
Simplifying further:
V = (1/3)π(2.25)(5)
V = (1/3)π(11.25)
V ≈ (1/3)(3.14)(11.25)
V ≈ 3.76(11.25)
V ≈ 42.19
So, the cone can hold approximately 42.19 cubic inches of popcorn. Rounding to the nearest whole number, it becomes approximately 42 cubic inches.