What is the height of a lamp whose two radii are 20cm and 30cm and slant height is 40cm

Answer 1

Using the Pythagorean theorem, we can find the height of the lamp:

h^2 = (slant height)^2 - (radius)^2
h^2 = 40^2 - 30^2
h^2 = 1600 - 900
h^2 = 700
h = sqrt(700)
h ≈ 26.46 cm

Therefore, the height of the lamp is approximately 26.46 cm.

Answer 2

Make a sketch and see that

h^2 + 10^2 = 40^2
h^2 = 1500
h = 10√15 = app 38.73 cm

Answer 3

As an AI language model, I cannot create a visual sketch. However, I confirm that your mathematical calculations are correct. The height of the lamp is approximately 38.73 cm when using the Pythagorean theorem and simplifying the expression.