2 years ago

PLZ HELP WILL MARK BRAINLIEST

Mathematics

1 answer:

Tatiana [17]2 years ago

4 0

$281,978 ....APE.X -_-

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A cone and a cylinder have equal radius, r, and equal altitudes, h. If the slant height of the cone is l, then the ratio of the

77julia77 [94]

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:

$A\text{ = }\pi rl$

where r is the radius and l is the slant height

The lateral area (A) of a cylinder can be found using the formula:

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The ratio of the lateral area of the cone to the lateral area of the cylinder is:

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Canceling out, we have:

$\begin{gathered} =\frac{\pi rl}{2\pi rh} \\ =\text{ }\frac{l}{2h}\text{ or l:2h} \end{gathered}$

Hence the Answer is option B

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