The radius of a cylinder is 3.5 ft. The height is 14 ft. Find the surface area and volume of the cylinder to the nearest tenth of a foot. \\ i have no idea please help haha rip
A≈384.85
V≈538.78
hopes this help
What does your text or your class notes tell you about the formulas
for volume and surface area of a cylinder?
If that is not successful I would google "volume of a pyramid" etc.
surface is a circle, r = 3.5
area of top surface = pi r^2 = 3.14 * 3.5 * 3.5 ft^2
HOWEVER if you want the total area Including the sides and bottom
Then use twice that (top and bottom) plus 2 pi r H
where H = 14 ft
volume = surface area times height
= pi r^2 H
No problem! I can help you with that.
To find the surface area and volume of a cylinder, we can start by understanding the formulas involved.
The surface area of a cylinder can be calculated using the formula: A = 2πr(r + h).
Where:
A is the surface area
π (pi) is a mathematical constant (approximately 3.14159)
r is the radius of the cylinder
h is the height of the cylinder
The volume of a cylinder can be calculated using the formula: V = πr²h.
Where:
V is the volume
π (pi) is a mathematical constant (approximately 3.14159)
r is the radius of the cylinder
h is the height of the cylinder
Now, let's apply these formulas to the given information.
Given:
Radius (r) = 3.5 ft
Height (h) = 14 ft
Surface Area:
A = 2πr(r + h)
A = 2 * 3.14159 * 3.5(3.5 + 14) [Substituting the given values]
A ≈ 2 * 3.14159 * 3.5 * 17.5
A ≈ 384.8 ft² [Rounded to the nearest tenth]
Therefore, the surface area of the cylinder is approximately 384.8 square feet.
Volume:
V = πr²h
V = 3.14159 * 3.5² * 14 [Substituting the given values]
V ≈ 3.14159 * 3.5² * 14
V ≈ 539.1 ft³ [Rounded to the nearest tenth]
Therefore, the volume of the cylinder is approximately 539.1 cubic feet.