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vladimir2022 [97]
2 years ago
11

Joe is painting his wooden fenceposts before putting them in his yard. They are each 8 feet tall and have a diameter of 1 foot.

There are 12 fenceposts in all. How much paint will Joe need to paint all the surfaces of the 12 fenceposts? Use 3.14 for TT, and round your final answer to the nearest whole number.​
Mathematics
1 answer:
Andru [333]2 years ago
6 0

Answer:

320 ft^2

Step-by-step explanation:

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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

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3 years ago
Work out cube root of 512 : reciprocal of 0.4. Give your answer in the form n : 1
galben [10]

Step-by-step explanation:

Thanks, so cube root of 512 is 8 and reciprocal of 0.4 is 2.5 then:

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2 years ago
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Paraphin [41]

Answer:

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Step-by-step explanation:

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3 years ago
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scoundrel [369]

Answer:

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Step-by-step explanation:

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Answer:

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