Question

The lateral area of a cone is 574 cm^2. The radius is 19.6 cm. What is the slant height to the nearest tenth of a centimeter?

9.3cm
29.9 cm
42.5cm
92.0cm

Answer 1

29.9 i just took the test

Answer 2

Answer: 9.3cm

Explanation:

Given: The lateral area of the cone =
`574 cm^2`

The radius of the cone = 19.6 cm

We know that the lateral surface area of the cone is given by ;-

`LA=\pi r l`, where r is the radius and l is the slant height of the cone.

`\\\\\Rightarrow\ 574=\pi (19.6)l\\\\\Rightarrow\ l=(574)/(\pi*19.6)\approx9.3\ cm`

Hence, the slant height of the cone = 9.3 cm