The radius of a cylinder is 3.5 feet. The height is 14 feet. Finally surface area and volume of the cylinder to the nearest 10th of a foot show your work please I need this ASAP
To find the surface area and volume of a cylinder, we can use the following formulas:
1. Surface Area of a Cylinder:
The surface area of a cylinder is given by the formula: A = 2πr(r + h), where r is the radius and h is the height.
2. Volume of a Cylinder:
The volume of a cylinder is given by the formula: V = πr^2h, where r is the radius and h is the height.
Let's calculate the surface area and volume using the given measurements:
Radius (r) = 3.5 feet
Height (h) = 14 feet
1. Surface Area (A):
Plugging in the given values into the surface area formula, we have:
A = 2π(3.5)(3.5 + 14) = 2π(3.5)(17.5) = 122.5π square feet
Now, we need to find this value to the nearest 10th of a foot. Since π is approximately 3.14159, we can calculate:
A ≈ 122.5 * 3.14159 ≈ 384.495 square feet
Rounded to the nearest 10th: A ≈ 384.5 square feet
2. Volume (V):
Plugging in the given values into the volume formula, we have:
V = π(3.5)^2(14) = π(12.25)(14) ≈ 527.26 cubic feet
Rounded to the nearest 10th: V ≈ 527.3 cubic feet
Therefore, the surface area of the cylinder is approximately 384.5 square feet, and the volume is approximately 527.3 cubic feet.
Volume of cylinder = P r^2 h
Surface area = 2πr^2 + 2πhr
you have all the numbers, do the arithmetic