31. What is the slant height of the cone to the nearest whole number? The figure is not drawn to scale.

23m and 12m

20m
22m
24m
26m

Do you have the answers to this test?

22 m

The answer is 26

Cynful is right its 26

To find the slant height of a cone, we need to use the formula for the slant height. The formula is given by the Pythagorean theorem:

slant height^2 = radius^2 + height^2

In this case, the radius is given as 12m and the height is given as 23m. Let's substitute these values into the formula and solve for the slant height:

slant height^2 = 12^2 + 23^2
slant height^2 = 144 + 529
slant height^2 = 673

To find the slant height, we need to take the square root of both sides:

slant height = square root of 673

Now, let's evaluate the square root of 673 using a calculator. The result is approximately 25.94.

When rounding to the nearest whole number, the slant height is approximately 26m.

Therefore, the correct answer is 26m.