To find the volume of a right circular cylinder, we use the formula V = πr^2h, where r is the radius and h is the height.
Given that the radius (r) is 5 and the height (h) is 4, we can plug these values into the formula:
V = π(5)^2(4)
V = π(25)(4)
V = 100π
So, the volume of the cylinder is 100π cubic units.
To find the surface area of a right circular cylinder, we need to find the lateral surface area and the area of the two bases.
The lateral surface area (A) of a cylinder is given by the formula A = 2πrh, where r is the radius and h is the height.
Given that r = 5 and h = 4, we can plug these values into the formula:
A = 2π(5)(4)
A = 40π
The area of one base of the cylinder is given by the formula A = πr^2, where r is the radius.
Given that r = 5, we can plug this value into the formula:
A = π(5)^2
A = 25π
Since there are two bases, the total area of the bases is:
2(25π) = 50π
Therefore, the total surface area of the cylinder is the sum of the lateral surface area and the area of the two bases:
Total surface area = lateral surface area + area of bases
Total surface area = 40π + 50π
Total surface area = 90π
So, the surface area of the cylinder is 90π square units.
Find the volume and surface area of the right circular cylinder.
radius: 5
height: 4
1 answer