Answer:
its the first on 5,3 can you give me brainliest
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
WHATS THE QUESTION
Step-by-step explanation:
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(a) The lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
(b) The lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
(c) The lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
<h3>
Lateral surface area of the prism</h3>
L.S.A = Ph
where;
- P is perimeter of the base
- h is height of the prism
h² = 17² - 8²
h² = 225
h = 15
L.S.A = (3 x 16) x 15 = 720 sq units
<h3>Total s
urface area of the prism</h3>
T.S.A = PH + 2B
T.S.A = 720 + 2(16) = 752 sq units
<h3>
Lateral surface area of the cone</h3>
L.S.A = πrt
where;
- t is the slant height = 17
r² = 17² - 15²
r² = 64
r = 8
L.S.A = π(8)(17) = 136π sq units
<h3>
Total surface area of the cone</h3>
T.S.A = πrt + πr²
T.S.A = 136π sq units + π(8)²
T.S.A = 200π sq units
<h3> 
Lateral surface area of the cylinder</h3>
L.S.A = 2πrh
where;
- r is the radius of the cylinder = 11
- h is height of the cylinder = 11
L.S.A = 2π(11 x 11) = 242π sq units
<h3>Total 
surface area of the cylinder</h3>
T.S.A = 2πrh + 2πr² = 2πr(r + h)
T.S.A = 2π(11)(11 + 11)
T.S.A = 484π sq units.
Thus, the lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
- the lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
- the lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
Learn more about surface area here: brainly.com/question/76387
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Answer:


Step-by-step explanation:
Area:
 π
 π 
 π
 π  *Square 2x*
       *Square 2x*
 π
 π  *Divide by π*
          *Divide by π*
 *Divide by 4*
           *Divide by 4*
 *Square root*
             *Square root*
 *Solve*
           *Solve*
x ≈ 3.482
Now take the same equation but replace 2x with 3x
 π
 π 
Now replace x with 3.482 and solve for area.

Volume:
 π
 π  *Insert variables*
               *Insert variables*
 π
 π  *Cube 2x*
     *Cube 2x*
 π
 π  *Multiply
     *Multiply  on both sides*
 on both sides*
 π
 π  *Divide by π*
    *Divide by π*
 *Divide by 8*
           *Divide by 8*
 *Cube root*
             *Cube root*
![\sqrt[3]{10.770} = x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B10.770%7D%20%3D%20x) *Solve*
            *Solve*
x ≈ 2.208
Now take the same equation but replace 2x with 3x
 π
 π  
     
Now replace x with 2.208 and solve for volume.

 
        
             
        
        
        
Hey, to find the area of the rhombus all you have to do is multiple the horizontal part in the inside to the vertical part (also inside the rhombus). After that divide by two and you have your answer.