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)
Responses
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 short by 0.3 in.
No; the height is too short by 0.3 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.
how
To determine if the current net design will work for the desired height of 6 in, we need to calculate the actual height based on the slant height provided.
Given:
Diameter = 2.5 in
Slant height = 6.25 in
To find the radius (r) of the cone:
r = diameter / 2
r = 2.5 / 2
r = 1.25 in
To find the actual height (h) of the cone:
h² = slant height² - radius²
h² = 6.25² - 1.25²
h² = 39.0625 - 1.5625
h² = 37.5
h = √37.5
h ≈ 6.12 in
Since the actual height of the cone is approximately 6.1 in, it is too short by 0.3 in for the desired height of 6 in.