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Orlov [11]
3 years ago
9

A cylinder has a surface area of 150π inches2 . What is its height if the radius is 5 inches?

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0
15inches
Double the radius is 10 which is the diameter and 150π divide by 10<span>π equal to 15 inches</span>
Aloiza [94]3 years ago
8 0
Using the formula

h=(A/2πr)﹣r
Plug in the values in the equation
h = (150π/2π5)-5
(π would cancel π and 2×5=10. Therefore 150÷10=15)
h= 15-5
h = 10
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CA^2=CH^2+AH^2\\ \\(\sqrt{3}CD)^2=(CD+4)^2+(4\sqrt{3})^2\\ \\3CD^2=CD^2+8CD+16+48\\ \\2CD^2-8CD-64=0\\ \\CD^2-4CD-32=0\\ \\D=(-4)^2-4\cdot 1\cdot (-32)=16+128=144\\ \\CD_{1,2}=\dfrac{-(-4)\pm\sqrt{144}}{2\cdot 1}=\dfrac{4\pm 12}{2}=-4,\ 8

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CA=\sqrt{3}CD=8\sqrt{3}\ cm

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AB=2CA=16\sqrt{3}\ cm

By the Pythagorean theorem,

BC^2=AB^2-AC^2\\ \\BC^2=(16\sqrt{3})^2-(8\sqrt{3})^2=256\cdot 3-64\cdot 3=576\\ \\BC=24\ cm

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