Question

What is the best approximation of the surface area of this right cone

Answer 1

Use the formula for the surface area of a right cone:

$\sf A=\pi rs+\pi r^2$

Where 'r' is the radius and 's' is the slant height, plug in what we know(use 3.14 to approximate for pi):

$\sf A=(3.14)(12)(15)+(3.14)(12)^2$

Multiply and simplify exponent:

$\sf A=565.2+(3.14)(144)$

Multiply:

$\sf A=565.2+452.16$

Add, round to the nearest whole number:

$\boxed{\sf A\approx 1017~cm^2}$