Answer:
![x = 2.5](https://tex.z-dn.net/?f=%20x%20%3D%202.5%20)
Step-by-step explanation:
Surface area of cylinder = 2πr(h + r)
Volume of cylinder = πr²h
Given that S.A = Volume of the cylinder, therefore, we have:
2πr(h + r) = πr²h
Radius (r) is given as 2.5 cm
height (h) = x cm
Input the values and solve for x
2πr(h + r) = πr²h
2πr(h + r) = πr(rh)
2(h + r) = rh (πr cancels πr)
![2(x + 2.5) = 2.5*x](https://tex.z-dn.net/?f=%202%28x%20%2B%202.5%29%20%3D%202.5%2Ax%20)
![2x + 5 = 2.5x](https://tex.z-dn.net/?f=%202x%20%2B%205%20%3D%202.5x%20)
Subtract 2x from both sides
![2x + 5 - 2x = 2.5x - 2x](https://tex.z-dn.net/?f=%202x%20%2B%205%20-%202x%20%3D%202.5x%20-%202x%20)
![5 = 0.5x](https://tex.z-dn.net/?f=%205%20%3D%200.5x%20)
Divide both sides by 0.5
![\frac{5}{0.5} = \frac{0.5x}{0.5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B0.5%7D%20%3D%20%5Cfrac%7B0.5x%7D%7B0.5%7D%20)
![2.5 = x](https://tex.z-dn.net/?f=%202.5%20%3D%20x%20)
![x = 2.5](https://tex.z-dn.net/?f=%20x%20%3D%202.5%20)
Answer:
The area of the triangle is 20 square centimeters
Step-by-step explanation:
The formula of the area of a triangle is A =
b h, where
- b is the length of its base
- h is the length of the height of this base
In Triangle ABC
∵ BC is its base
∵ The length of BC is 5 centimeters
∴ b = 5
∵ The height of The base BC is 8 centimeters
∴ h = 8
- Use the formula of the area to find the area of triangle ABC
∵ A =
b h
∴ A =
(5)(8)
∴ A = 20 centimeters²
The area of the triangle is 20 square centimeters
Answer: 15-3=12 12/4=3 each child will pay 3,000