Which change will quadruple the lateral surface area of a cone?
2 answers:
Answer:
D)Increase the height so that the slant height quadruples.
Step-by-step explanation:
Given that a cone undergoes changes in height or radius or slant height.
We have to find which change will quadruple the lateral surface area of cone.
Lateral surface area of cone =
Thus depends on radius and slant height
Let us check one by one options
A) When radius quadruples by increasing slant height we find lateral SA
will change more than quadruples because of change of slant height. Hence wrong.
B) When we quadruple the height 4 times, slant height will not be quadrupled exactly hence option is wrong.
C) If both radius and height are quadrupled then LSA will become 16 times the original hence false.
D) When we increase the height so that slant height quadruples, then radius will be the same, thus making LSA = 4 times the original
Option D is right.
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Answer: Choice B
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Explanation:
The original equation is with 8 as the base. That is also the base of the log when we get the final answer shown above. Logs are useful to isolate the exponent.
The general rule is that is equivalent to the log form of
where b is the base of each.