Question
How would you find the slant height or edge length of the ice cream cone. Select TWO that apply.
add the volume of the cone and sphere together
find the volume of the sphere and then divide by 2
use the Pythagorean Theorem with a=1 and b=5
find the volume of the sphere then solve for the height in the volume of the cone formula
use the volume of a cone formula with r=1 and h=5
drop the height inside the cone and then use a^2+b^2=c^2 where c would be the slant height of the cone
find the slope, rise/run=5/1
add the volume of the cone and sphere together
find the volume of the sphere and then divide by 2
use the Pythagorean Theorem with a=1 and b=5
find the volume of the sphere then solve for the height in the volume of the cone formula
use the volume of a cone formula with r=1 and h=5
drop the height inside the cone and then use a^2+b^2=c^2 where c would be the slant height of the cone
find the slope, rise/run=5/1
Answers
GPT-4o mini
To find the slant height or edge length of the ice cream cone, the following two methods from your list would be applicable:
1. **Drop the height inside the cone and then use \( a^2 + b^2 = c^2 \) where c would be the slant height of the cone**: This is a correct application of the Pythagorean Theorem, where you can use the radius (a) and height (b) of the cone to find the slant height (c).
2. **Use the Pythagorean Theorem with a = 1 and b = 5**: This essentially identifies that if you consider the radius (1) and the height (5) of the cone, you can apply the Pythagorean theorem to find the slant height.
These two approaches will allow you to calculate the slant height of the ice cream cone effectively. The other options, while they involve calculations related to volume, do not directly lead to finding the slant height.
1. **Drop the height inside the cone and then use \( a^2 + b^2 = c^2 \) where c would be the slant height of the cone**: This is a correct application of the Pythagorean Theorem, where you can use the radius (a) and height (b) of the cone to find the slant height (c).
2. **Use the Pythagorean Theorem with a = 1 and b = 5**: This essentially identifies that if you consider the radius (1) and the height (5) of the cone, you can apply the Pythagorean theorem to find the slant height.
These two approaches will allow you to calculate the slant height of the ice cream cone effectively. The other options, while they involve calculations related to volume, do not directly lead to finding the slant height.