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

Step-by-step 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.

$\\\\\Rightarrow\ 574=\pi (19.6)l\\\\\Rightarrow\ l=\dfrac{574}{\pi\times19.6}\approx9.3\ cm$

Hence, the slant height of the cone = 9.3 cm