What is the lateral area of a cylinder which has an element of 8 inches and a right section with a perimeter of 24 inches?

enmobladatn
2022-08-01
Answered

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Raul Garrett

Answered 2022-08-02
Author has **14** answers

$A=8\times 24\Rightarrow \phantom{\rule{0ex}{0ex}}A=192sq\in $

asked 2022-07-21

Area of rectangle knowing diagonal and angle between diagonal and edge

I found on the web that the area of a rectangle with the diagonal of length d, and inner angle (between the diagonal and edge) $\theta $ is ${d}^{2}\mathrm{cos}(\theta )\mathrm{sin}(\theta )$. However, I wasn't able to deduce it myself. I tried applying law of sines or generalised Pythagorean theorem but I couldn't derive the area using only the length of the diagonal and the angle between diagonal and edge. How might I get to this result ?

I found on the web that the area of a rectangle with the diagonal of length d, and inner angle (between the diagonal and edge) $\theta $ is ${d}^{2}\mathrm{cos}(\theta )\mathrm{sin}(\theta )$. However, I wasn't able to deduce it myself. I tried applying law of sines or generalised Pythagorean theorem but I couldn't derive the area using only the length of the diagonal and the angle between diagonal and edge. How might I get to this result ?

asked 2022-08-12

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Find the volume of the tetrahedron with the vertices P(1,1,1), Q(1,2,3), R(3,1,2), and S(2,3,1).

Find the volume of the tetrahedron with the vertices P(1,1,1), Q(1,2,3), R(3,1,2), and S(2,3,1).

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Given:

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asked 2021-08-13

Find an equation of the conic described.Graph the equation.

Ellipse; center at (0,0); focus at (0,3); vertex at (0, 5)

Ellipse; center at (0,0); focus at (0,3); vertex at (0, 5)

asked 2022-05-14

Plane with normal vector

a) If unit normal vector is $({a}_{1},{b}_{1},{c}_{1}),$ , then, how the point ${P}_{1}$ on the plane becomes $(D{a}_{1},D{b}_{1},D{c}_{1})?$ ?

b) If unit normal is $(1/3,2/3,2/3)$ then ${P}_{1}$ becomes $(2/3,4/3,4/3)$ Where $D=2.$ We know that normal vector began on the plane at point ${P}_{1}$ and ends at $(1/3,2/3,2/3).$ My questions is how unit normal vector coordinates value less than ${P}_{1}$ coordinates value, because unit normal vector pointing outside of the plane it should be greater coordinates value than ${P}_{1}$ ?

a) If unit normal vector is $({a}_{1},{b}_{1},{c}_{1}),$ , then, how the point ${P}_{1}$ on the plane becomes $(D{a}_{1},D{b}_{1},D{c}_{1})?$ ?

b) If unit normal is $(1/3,2/3,2/3)$ then ${P}_{1}$ becomes $(2/3,4/3,4/3)$ Where $D=2.$ We know that normal vector began on the plane at point ${P}_{1}$ and ends at $(1/3,2/3,2/3).$ My questions is how unit normal vector coordinates value less than ${P}_{1}$ coordinates value, because unit normal vector pointing outside of the plane it should be greater coordinates value than ${P}_{1}$ ?