What is the total surface area of a right circular cone of height 14cm and base radius 7cm?
We know, the total surface area of a right circular cone =πr(r+l).
Given, base radius r=7cm.
Also, height h=14cm.
Then, slant height l=√h2+r2
⇒l=(√142+72
⇒l=√245cm=7√5 cm.
Now substitute the value in above equation, we have,
the total surface area =π×7(7+7√5)
=227×7×7(1+√5)
=154(1+√5)=498.35cm2.
Therefore, option C is the correct.