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}`