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1 answer:
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We are asked to express r in terms of A, P, and t.
We first divide both sides of the equation by t, which gives us
,
then, dividing both sides by P, we have
.
Swap the sides:
Finally subtracting 1 from both sides gives us
.
We first divide both sides of the equation by t, which gives us
then, dividing both sides by P, we have
Swap the sides:
Finally subtracting 1 from both sides gives us
Given:
radius of cone = r
height of cone = h
radius of cylinder = r
height of cylinder = h
slant height of cone = l
Solution
The lateral area (A) of a cone can be found using the formula:
where r is the radius and l is the slant height
The lateral area (A) of a cylinder can be found using the formula:
The ratio of the lateral area of the cone to the lateral area of the cylinder is:
Canceling out, we have:
Hence the Answer is option B