Question

solve this problem please ​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

r = √( A / π√5 )

Step-by-step explanation:

Let L be the "slant height" of the cone (the height going up the side of the cone rather than straight up the middle).

Let r be the radius of the base.

Then A = π r L.

The base radius, vertical height ( h ) and slant height make a right angled triangle, so by Pythagoras' Theorem

L² = r² + h²

We're told h = 2r, so

L² = r² + (2r)² = r² + 4r² = 5r²  =>  L = √5 r

Substituting this into the formula for A,

A = π r ( √5 r ) = π√5 r²

Solving for r, this is then

r = √( A / π√5 )