Find the missing measure for a right circular cone given the following information. Find r if T.A. = 12pi and L.A. = 8pi
2 answers:
ARea of base = TA - LA = 4pi
pi r^2 = 4 pi where r is radius of base.
r^2 = 4
so r = 2 Answer
Answer:
r = 2 units
Step-by-step explanation:
Total area(T.A) of the circular cone is given by:

Lateral surface area(L.A) of the circular cone:

where
r is the radius and h is the height of the circular cone.
As per the statement:
and 
then;

⇒
⇒
Divide both sides by
we have;

or

⇒
r cannot be in negative
⇒
units
Therefore, radius of the circular cone is, r = 2 units
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