If a right circular cone has a lateral surface area of `6pi` and a slant height of 6, what is the radius of the base ?

Options

A. `0.50`
B. `0.75`
C. `1.00`
D. `1.25`

Answer

C

Explanation

A formula for the lateral area of a cone is given in the directions :
Lateral area `=(1)/(2)cl`
Here the lateral area is `6pi` and l = 6, so you can solve for c :
`6pi=(1)/(2)c(6)`
`pi=(1)/(2)c`
`c = 2pi`
Now you can use the base circumference `c = 2pi` to find the base radius :
Circumference `= 2pi r`
`2pi = 2pi r`
r = 1