What is the length of side AC

Mathematics

1 answer:

natulia [17]3 years ago

6 0

Answer:

7 Units.

Step-by-step explanation:

First of all, you could just count the units, but that's not really too effective. Otherwise, you could start from the coordinates of the "C" point, and see how it's at -Y = -5. Therefore, to get to the line separating the two points, you would have to subtract 5 from 5 to get to the line. Now, you look at point "A". It's Y coordinate is 2. Therefore, adding 5 and 2 together gives you 7 units.

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A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (ha

Neko [114]

Answer:

Volume: $\frac{2}{3}\pi r^3$

Ratio: $\frac{2}{9}r$

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

$V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3$

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

$A=4 \pi r^2$

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so $2\pi r^2$ . Moreover, we have to add the surface of the base, which is $\pi r^2$ . So the total surface area of the hemispherical tank is