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

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 3

what are the answers