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AnnyKZ [126]
3 years ago
5

I need help on this question

Mathematics
1 answer:
Nataly [62]3 years ago
3 0
We need the question to be able to solve it
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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

A'=2\pi r^2 + \pi r^2 = 3 \pi r^2

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r

6 0
3 years ago
Veronica tried to solve an equation step by step. \begin{aligned} 8&=y-4.6\\\\ 8+4.6&=y-4.6+4.6&\green{\text{Step }
fomenos

Answer:

she did not make a mistake

Step-by-step explanation:

4 0
3 years ago
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$24 saved after 3 weeks; $52 saved after 7 weeks
Hoochie [10]

Answer:

What is the mission

Step-by-step explanation:

3 0
3 years ago
(5x+37)"<br> S<br> W<br> (3x-9)<br> Р<br> T<br> What is the value of x?
svp [43]

Step-by-step explanation:

well, the arcs WS and ST together are the full half-circle and therefore 180°.

that means

5x + 37 + 3x - 9 = 180

8x + 28 = 180

8x = 152

x = 19

5 0
2 years ago
When I was 6 my sister was half my age<br><br> Now I'm 70 how old is my sister?
mrs_skeptik [129]
She would be 67...always going to be 3 years younger
6 0
4 years ago
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