Question

Find the lateral area of the come in terms of pi.

Answer 1

The answer should be 12x cm power of 2

Answer 2

`15\pi` sq. cm.

Explanation:

The lateral area of a cone is given by the formula
`\pi rl`

Where, r is the radius, and l is the slant height

r is given as 3 cm, but slant height is not given. Let's use the pythagorean theorem on the triangle created by 3cm , 4cm, side and lateral side (slant height).

Let slant height be l:

`3^2+4^2=l^2\\25=l^2\\l=5`

Now plugging into the formula, we get:

Lateral area =
`\pi rl = \pi (3)(5)=15\pi`

Second answer choice is right,
`15\pi` sq. cm