Respuesta :
Answer:
Lateral Surface Area = 94.25 cm²
Surface area = 150.8 cm²
Step-by-step explanation:
A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?
Step 1
We have to find the radius of the cylinder
We are told in the question that:
The circumference of one circle is 18.84 cm
Circumference of a circle = 2πr
18.84cm = 2πr
r = 18.84/2π
r = 2.9984791279cm
Approximately the radius = 3cm
Step 2
We find the Lateral Surface Area of the Cylinder
The formula =2πrh
r = 3cm
h = 5cm
=2×π × 3 × 5
= 94.24778 cm²
Approximately = 94.25 cm²
Step 3
We find the Surface Area of the Cylinder
The formula =2πr(r + h)
r = 3cm
h = 5cm
=2×π × 3 × 5(3 + 5)
= 150.79645 cm²
Approximately = 150.80 cm²
