the correct answer option is d. la = πrs.
step-by-step explanation:
we know that for a right cone, the lateral surface area is given by:
lateral area of right cone = ![\pi r\sqrt{h^{2}+r^{2}}](/tex.php?f=\pi r\sqrt{h^{2}+r^{2}})
here the value under the square root is equal to slant height
so replacing this value by
in the formula to get:
lateral area of right cone = ![\pi r \times s = \pi rs](/tex.php?f=\pi r \times s = \pi rs)
therefore, the correct answer option is d.