Q:

WILL GIVE BRAINLIESTWhat is the lateral surface area of a cone that has a slant height of 24 cm and a diameter of 10.5 cm? (Recall the formula LA=pi rl)96 pi cm ^2126 pi cm ^2132 pi cm ^2252 pi cm ^2

Accepted Solution

A:
Answer:Option B is correct.Step-by-step explanation:Lateral surface area of cone = π*r*lwhere r is the radius and l is the height of cone.We are given height = l  24 cmand diameter d = 10.5 cmwe know that radius is half of diameter i.e,r = d/2=> r = 10.5/2r = 5.25Putting the values in the formula:Lateral surface area of cone = π*r*lLateral surface area of cone = π*5.25*24Lateral surface area of cone = 126 π cm^2So, Option B is correct.