Question

The total surface area of a right circular cone is 256 square feet. If I slant height of the cone is three times the length of a radius of the base, find the length of a radius

Answer 1

we are given

total surface area is 256

we can use formula

`TA=\pi r^2 +\pi r l`

l is slant height

r is radius

we are given

l=3r

so, we can plug it

`TA=\pi r^2 +\pi r *3r`

`TA=4\pi r^2`

now, we can plug TA=256

`256=4\pi r^2`

now, we can solve for r

we get

`r=4.51352`...........Answer

Answer 2

what are the answers

Answer 3

we are given

total surface area is 256

we can use formula

`TA=\pi r^2 +\pi r l`

l is slant height

r is radius

we are given

l=3r

so, we can plug it

`TA=\pi r^2 +\pi r *3r`

`TA=4\pi r^2`

now, we can plug TA=256

`256=4\pi r^2`

now, we can solve for r

we get

`r=4.51352`...........Answer