Yes, the current net design will work for the desired height of 6 in.
Explanation: The slant height of the cone is the hypotenuse of a right triangle with height and radius as the other two sides. Using the Pythagorean theorem, we can calculate the height:
height = sqrt(6.25^2 - 1.25^2) = sqrt(39.0625 - 1.5625) = sqrt(37.5) ≈ 6.1 in
Since the calculated height is greater than the desired height, the current net design will work for a height of 6 in.
Konery wants to make their waffle cones with a height of 6 in. Their current net design has a diameter of 2.5 in. and a slant height of 6.25 in. Will this work for the desired height? Round the answer to the nearest tenth.(1 point
5 answers
these are my only choices
No; the height is too long by 0.1 in.
No; the height is too long by 0.1 in.
No; the height is too long by 0.4 in.
No; the height is too long by 0.4 in.
No; the height is too long by 0.7 in.
No; the height is too long by 0.7 in.
No; the height is too short by 0.3 in.
No; the height is too long by 0.1 in.
No; the height is too long by 0.1 in.
No; the height is too long by 0.4 in.
No; the height is too long by 0.4 in.
No; the height is too long by 0.7 in.
No; the height is too long by 0.7 in.
No; the height is too short by 0.3 in.
No; the height is too long by 0.1 in.
could you show me the steps
Sure!
Given:
Diameter (d) = 2.5 inches
Slant height (l) = 6.25 inches
Desired height (h) = 6 inches
To find the actual height of the cone, we can use the Pythagorean theorem, which states that:
l^2 = r^2 + h^2
Where:
l = Slant height
r = Radius (half of the diameter)
h = Height
Given in the problem:
l = 6.25 inches
d = 2.5 inches, so r = 1.25 inches
Substitute the values into the equation:
6.25^2 = 1.25^2 + h^2
39.0625 = 1.5625 + h^2
37.5 = h^2
h = √37.5 ≈ 6.1237 inches
Comparing this to the desired height:
Desired height = 6 inches
Actual height ≈ 6.1237 inches
The actual height is longer than the desired height by:
6.1237 - 6 ≈ 0.1 inches
Therefore, the correct answer is: No; the height is too long by 0.1 in.
Given:
Diameter (d) = 2.5 inches
Slant height (l) = 6.25 inches
Desired height (h) = 6 inches
To find the actual height of the cone, we can use the Pythagorean theorem, which states that:
l^2 = r^2 + h^2
Where:
l = Slant height
r = Radius (half of the diameter)
h = Height
Given in the problem:
l = 6.25 inches
d = 2.5 inches, so r = 1.25 inches
Substitute the values into the equation:
6.25^2 = 1.25^2 + h^2
39.0625 = 1.5625 + h^2
37.5 = h^2
h = √37.5 ≈ 6.1237 inches
Comparing this to the desired height:
Desired height = 6 inches
Actual height ≈ 6.1237 inches
The actual height is longer than the desired height by:
6.1237 - 6 ≈ 0.1 inches
Therefore, the correct answer is: No; the height is too long by 0.1 in.
14 answers