Question

Find the slant height of a cone given that its lateral area is 144π cm2 and the diameter is 9 cm. diameter 9 cm 2 cm 32 cm 4 cm 18 cm​

Answer 1

32 cm.

Explanation:

Lateral area = πrL

where r = radius of the base and L = the slant height.

The radius = 1/2 * diameter = 4.5 cm.

So from the values given:

144π = π* 4.5 * L

4.5L = 144

L = 144/4.5

= 32 cm.