Answer:
1,570,000 cubic units
Explanation:
Surface Area of Cylinder (SA):
The surface area of a cylinder is the sum of the lateral area and the area of the two bases.
Lateral Area (LA):
The lateral area is the area of the vertical side, which is a rectangle with the circumference of the base as the length and the height of the cylinder as the width. LA = 2πrh
Base Area (BA):
The two bases are circles. BA = 2πr²
SA = 2πrh + 2πr²
The height is 4 times the radius: h = 4r
SA = 2πr(4r) + 2πr²
SA = 8πr² + 2πr²
SA = 10πr² = 78500
10(3.14)r² = 78500
r² = 2500
r = 50 units
Volume of Cylinder (V):
The volume of a cylinder is πr²h.
V = πr²h
V = 3.14 × (50)² × 4(50)
V = 1,570,000 cubic units