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Find the total surface area of the cylinder

Give your answer to 1 decimal place
Radius= 24cm
length=18cm
Note: Answer must have the units "cm^2"

1 Answer

2 votes

Answer:6264.6

Explanation:

To calculate the surface area of a cylinder, we need to find the area of the two circular bases and the lateral surface area.

The formula for the surface area of a cylinder is:

Surface Area = 2πr² + 2πrh

where r is the radius of the base and h is the height or length of the cylinder.

Given:

Radius (r) = 24 cm

Length (h) = 18 cm

Using the formula, we can calculate the surface area:

Surface Area = 2π(24)² + 2π(24)(18)

Surface Area = 2π(576) + 2π(432)

Surface Area = 1152π + 864π

Surface Area ≈ 2016π

Now, let's approximate the value of π to 1 decimal place, which is 3.1:

Surface Area ≈ 2016(3.1)

Surface Area ≈ 6264.6 cm²

Therefore, the surface area of the cylinder is approximately 6264.6 cm².

User Suzana
by
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