The volume of a cylinder whose height is 4cm and whose radius 5cm is equal to (π = 3.14)
Answer Details
The formula for the volume of a cylinder is V = πr^2h, where "r" is the radius of the base, "h" is the height, and π (pi) is a mathematical constant approximately equal to 3.14.
In this case, the height of the cylinder is 4cm, and the radius is 5cm. So we can substitute these values into the formula to find the volume:
V = πr^2h
V = π(5cm)^2(4cm)
V = π(25cm^2)(4cm)
V = π(100cm^3)
V = 100π cm^3
Therefore, the volume of the cylinder is 100π cubic centimeters. We can leave the answer in terms of π or use the approximate value of 3.14 to get an estimate:
V ≈ 100(3.14) cm^3
V ≈ 314 cm^3
So the answer is option C: 314cm^2.