We want to find the of the given .
To do so, we must know that the lateral area of a right cone is half the product of the of the base and the .
L.A.=21⋅2πr⋅ℓ⇔L.A.=πrℓ
In this formula,
r is the and
ℓ is the slant height of the cone. With this information we are able to calculate the lateral area of the cone. To do so, we will substitute
r=6 and
ℓ=16 into the formula for the lateral area. Let's do it!
L.A.=πrℓ
L.A.=π(6)(16)
L.A.=π(96)
L.A.=96π
L.A.=301.592894…
L.A.≈301.6
The lateral area of the given cone, to the nearest tenth, is
301.6 square centimeters