Find the lateral surface area and total surface area of a right circular cylinder (cylinder) of radius= 4.2cm and height= 20cm.
why do you post the question twice?
So annoying
the two circular bases have area 2πr^2
the lateral surface area is just a rectangle, with width equal to the circumference of the circle, so its area is 2πrh
to be simpler,
A = 2πr(r+h)
So now just plug in your numbers.
To find the lateral surface area and total surface area of a right circular cylinder, you need to use the following formulas:
1. Lateral Surface Area of a Cylinder:
The lateral surface area of a cylinder can be found using the formula: LSA = 2πrh, where "r" is the radius of the base and "h" is the height.
2. Total Surface Area of a Cylinder:
The total surface area of a cylinder is the sum of the lateral surface area and the areas of the two circular bases. It can be found using the formula: TSA = 2πrh + 2πr².
Now let's calculate the lateral surface area and total surface area for the given cylinder:
Given:
Radius (r) = 4.2 cm
Height (h) = 20 cm
1. Lateral Surface Area:
Using the formula LSA = 2πrh, substitute the given values:
LSA = 2π(4.2 cm)(20 cm)
LSA = 168π cm² or approximately 528.96 cm²
2. Total Surface Area:
Using the formula TSA = 2πrh + 2πr², substitute the given values:
TSA = 2π(4.2 cm)(20 cm) + 2π(4.2 cm)²
TSA = 168π cm² + 35.28π cm²
TSA = 203.28π cm² or approximately 639.84 cm²
Therefore, the lateral surface area of the cylinder is 168π cm² (or approximately 528.96 cm²) and the total surface area is 203.28π cm² (or approximately 639.84 cm²).