Question

What is the lateral area and the surface area of the cone shown below? Round the answer to the nearest tenth. Figure is not drawn to scale.

Answer 1

Answer:

LA = 1,187.5 ft^{2} and SA = 1,803.3 ft^{2}

Step-by-step explanation:

We are given, the radius 'r' of the cone is 14 ft and the slant height 'l' is given by 27 ft.

Now, we know that the formula for the lateral area = $\pi *r*l$

i.e. lateral are = $\pi *14*27$

i.e. lateral area = 1187.52 ft^{2}

Hence, lateral area rounded off to nearest tenth is 1187.5 ft^{2}.

Next, we know the formula for surface area of a cone = $\pi *r*(l+r)$

i.e. surface area = $\pi*14*(27+14)$

i.e. surface area = 1803.27 ft^{2}

Hence, the surface area rounded off to the nearest tenth is 1803.3 ft^{2}.

Answer 2

$LA= \pi rs= \pi 14(27)=1187.5 ft ^{2}$
$SA=LA+ \pi r^{2} =1187.5+ \pi (14)^{2} =1187.5+ \pi 196= 1187.5+615.8$=1803.3$ft^{2}$

Hope that helps.