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elena55 [62]
3 years ago
11

The diameter of a cylinder is 6 feet 6 inches. The height of a cylinder is 12 feet 3 inches. What is the surface area?    (feet

squared) What is the volume?      (feet cubed)
   
Mathematics
1 answer:
Andru [333]3 years ago
8 0
d-the\ diameter\\r-the\ radius\\H-the\ height\\\\d=6ft\ 6"=\left(6\frac{6}{12}\right)ft=6.5ft\\\\d=2r\to2r=6.5ft\to r=3.25ft\\\\H=12ft\ 3"=\left(12\frac{3}{12}\right)ft=12.25\ ft\\\\Surface\ area:\\A_s=2\pi r(r+H)\to A_s=2\pi\cdot3.25\cdot(3.25+12.25)\\=6.5\pi\cdot15.5=100.75\ (in^2)\\\\Volume:\\V=\pi r^2H\to V=\pi\cdot3.25^2\cdot12.25=129,390625\ (in^3)
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Hi help me please, I can't seem to figure this one out​
Nastasia [14]

Answer:

x= 2.73cm

<u>1cm : 0.6828 = 4cm : 2.73cm</u>

For the same angle we just work out 1cm first.

a^2+ b^2= c^2

0.82^2 + b^2 = 1^2 = changing to units 10

6.724 + b^2 = 10

10-6.724 = 2.276

Then x 3 and change units down by 10= 0.6828  

Step-by-step explanation:

Below shows why we must convert to mm from cm

a^2+ b^2= c^2

0.82^2 + b^2 = 1^2 =

0.6724 + b^2 = 1

1 - 0.6724 = b = 0.2276

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3 years ago
Find the circumference of a circle with the diameter of 10 inches. Leave your answers in form of pi
MrRa [10]

Answer:

Circumference = 10π

Step-by-step explanation:

First identify the circumference formula as such:

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Knowing 2 times the radius (2r) in the formula can be rewritten as the diameter, the formula itself can be rewritten as:

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If we know the diameter = 10 inches, substitute in the circumference formula πd to get:

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4 years ago
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Answer:

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Step-by-step explanation:

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Plugging these values into the first inequality, y\leq x+3, gives us 2\leq 3+3, which simplifies to 2\leq 6. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.

Plugging the coordinates into the second inequality, y\geq -x+3, gives us 2\geq -3+3, which simplifies to 2\geq 0. This is also a true statement, so the given point satisfies the second inequality as well. Therefore, \bold(\bold3\bold,\bold2\bold) is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!

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