The lateral area of a cone is 603 π cm2. The radius is 26 cm. Find the slant height to the nearest tenth
The lateral area of a cone can be found using the formula L = πrs, where r is the radius and s is the slant height. We know that L = 603π cm² and r = 26 cm, so we can plug these values into the formula and solve for s:
603π = π(26)s
603 = 26s
s = 603/26
s ≈ 23.2 cm
Therefore, the slant height to the nearest tenth is 23.2 cm.
To find the slant height of a cone, we can use the Pythagorean theorem. The formula for the lateral area of a cone is:
Lateral area = π * radius * slant height
Given that the lateral area is 603π cm² and the radius is 26 cm, we can rearrange the formula and solve for the slant height:
Lateral area = π * radius * slant height
603π = π * 26 * slant height
Divide both sides of the equation by π and 26:
603 = 26 * slant height
Now, divide both sides of the equation by 26:
slant height = 603 / 26
slant height ≈ 23.2 cm
Therefore, the slant height of the cone is approximately 23.2 cm.