Hi guys this is my question

Mathematics

1 answer:

sasho [114]3 years ago

5 0

Answers -

statement B, D, E are correct .

Solution -

As figure B is the scaled copy of figure A, so it is smaller than B and its perimeter is also less than that of A.

On the other hand , as B is the smaller replica of A, so it has same number of edges ,angels and sides. Though the length of the sides are not same, the angels are same. so the perimeters of both figures are different but sum of all the angels are same.

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What is x, if the volume of the cylinder is 768pi rcm3?

AVprozaik [17]

let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=8\\ h=x\\ V=768\pi \end{cases}\implies 768\pi =\pi (8)^2(x)\implies 768\pi =64\pi x \\\\\\ \cfrac{768\pi }{64\pi }=x\implies 12=x$