This is a combination of the formula of several figures.
The first one is the bottom of the cylinder AKA a circle.
The second one is the cylinder - the bottom and the top.
The third one is a cone without a bottom.
The first one can be written like this: r^2*3.14 where r is the radius of the circle
The second one is written like this: 2*3.14*r*h where r is the radius, and h the height
The third one is written like this: l*r*3.14
After this you just have to input the values.
bottom cylinder Cone (Use calculator if possible)
(3^2*3.14)+(2*3.14*3*5)+(6*3*3.14)=
28.26 + 94.2 + 56.52 = 178.98 in^2
The correct answer is 178.98 in^2.
Youre welcome.
EXTRA:
If youre wondering how to find the different formulas, you can search for the full formula, then remove the parts you do not need, by matching them with the formula of the part you want to remove.
Example:
Cylinder:
SA = 2(pi<span> r</span><span> 2</span><span>) + (2 </span><span>pi </span><span>r)* h
</span>In this case, i didnt need the top and bottom, then i look for the formula of a circle.
Circle SA = pi r^2
Is this anywhere in the cylinder? Yes! The first part.
Then we are left with:
2 + (2 pi r)*h
But that 2 looks strangely placed, and with some reason, one quickly understands that it means "top AND bottom", but since we removed the circle surface, we have to remove that part too.
So the final result of the formula is:
2 pi r h
Answer:
Area of the region = 15.03 in²
Step-by-step explanation:
Area of region between a regular hexagon with sides 6" and circle inscribed.
So Area of region = Area of regular hexagon - area of circle
Now area of regular hexagon = 
where a = side of the hexagon = 6"
Now area of regular hexagon =
= 93.53 square in.
Area of circle inscribed = πr²
Here r is the radius of the circle = 
r = 5"
So area of the inscribed circle = π(5)² = 3.14(25) = 78.5 square in.
Now area of region = 93.53 - 78.5 = 15.03 in²
Answer: 70cm³
EXPLANATION:
1/2 x base x height x 2 (this is to find the surface area of one of the triangular faces since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)
1/2 x base x height x 2
1/2 x 3 x 3 x 2 ← <em>(to get the height of the triangle substract 7 from 10)</em>
1/2 x 18 ←<em> (multiply 3x3x2=18) </em>
9cm³ ←<em>(since 18 is 2x9 your answer is 9cm³)</em>
<em></em>
1/2 x base x height x 2 (this is to find the surface area of the other triangular face with different measurements and since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)
1/2 x base x height x 2
1/2 x 4 x 3 x 2 ← <em>(to get the height of the triangle substract 7 from 10)</em>
1/2 x 24 ←<em> (multiply 4x3x2=24) </em>
12cm³ ←<em>(since 24 is 2x12 so your answer is 12cm³)</em>
<em></em>
Then next you have to find the surface area of one face of the rectangle and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath
A= 3x7= 21cm³
then find the area of the other rectangular face with different measurements and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath
A= 4x7= 28cm³
<u>FINALLY</u>
add all the areas of the faces you have found and you'll get the total surface area!
<u>9+12+21+28=70cm³</u>
Thank you! I hope you understood something and I hope you have a great day! good luck!
The answer to this problem is 745.
149 * 5 = 745
In the future, you can do this with a calculator.
Answer:
2336
Step-by-step explanation: