The radius of a cylinder is 3.5ft. The height is 14ft. Find the surface area and the volume of the cylinder to the nearest tenth of a foot. Please help
bobpursley thank you but it that to help me or is that the answer?
Thank you
To find the surface area and volume of a cylinder, we can use the following formulas:
Surface Area of a Cylinder: SA = 2πr(r + h)
Volume of a Cylinder: V = πr²h
Given information:
Radius (r) = 3.5 ft
Height (h) = 14 ft
Step 1: Calculate the Surface Area (SA)
Plug in the given values into the formula SA = 2πr(r + h):
SA = 2π(3.5)(3.5 + 14)
SA = 2π(3.5)(17.5)
SA ≈ 385.4 ft²
Therefore, the surface area of the cylinder is approximately 385.4 square feet.
Step 2: Calculate the Volume (V)
Plug in the given values into the formula V = πr²h:
V = π(3.5)²(14)
V = π(12.25)(14)
V ≈ 615.8 ft³
Therefore, the volume of the cylinder is approximately 615.8 cubic feet.
Surface Area= 2*bottom+side
=2*PI*r^2 + PI*2r*h