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prohojiy [21]
3 years ago
10

Carl has two cylinders that are the same height, but the volume of the second cylinder is 36 times the volume of the first cylin

der. What is the radius of the second cylinder ?

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0
Let radius of first cylinder is r and that of other is R and their height is h.
so vol.of first cylinder×36
=vol.of second cylinder
36×pi×r^2×h=pi×R^2×h
now pi and h cancel on both sides
so r^2×36=R^2
Squareroot36r^2=R
6r=R
so radius of second cylinder = 6 times radius of first cylinder
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Here it is given that AB || CD

< EIA = <GJB

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∠EIA  ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)

∠IKL + ∠IKC 180° and ∠DLH +  ∠JLD =180° (Linear Pair Theorem)

So

m∠IKL + m∠IKC = 180°       ....(1)

But ∠IKC  ≅ ∠JLD

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So we have

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∠IKL and ∠JLD are supplementary angles.

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3 years ago
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<h2>The required "option B) 60°" is correct.</h2>

Step-by-step explanation:

In question figure,

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