To find the surface area of a cylinder, we need to calculate the areas of the two 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 and h is the height.
Given that the radius is 5 and the height is 15, we can substitute these values into the formula:
Surface area = 2π(5)² + 2π(5)(15)
= 2π(25) + 2π(75)
= 50π + 150π
= 200π
Now, using the approximation 3.14 for π, we can calculate the surface area:
Surface area ≈ 200π
≈ 200(3.14)
≈ 628 square units
Therefore, the surface area of the cylinder is approximately 628 square units.
Find the surface area of the cylinder below. Use the approximation 3.14 for pi.
Height = 15
Radius = 5
9 answers
What is the formula for a cone?
The formula for the surface area of a cone is given by:
Surface area = πr² + πrl
where r is the radius of the base and l is the slant height of the cone.
Surface area = πr² + πrl
where r is the radius of the base and l is the slant height of the cone.
Give me an example
Sure! Let's consider an example:
Suppose we have a cone with a radius of 4 units and a slant height of 6 units. We want to find the surface area of this cone using the given formula.
Surface area = πr² + πrl
Substituting the given values:
Surface area = π(4)² + π(4)(6)
= π(16) + π(24)
= 16π + 24π
= 40π
Now, if we use the approximation 3.14 for π:
Surface area ≈ 40π
≈ 40(3.14)
≈ 125.6
Therefore, the surface area of the cone is approximately 125.6 square units.
Suppose we have a cone with a radius of 4 units and a slant height of 6 units. We want to find the surface area of this cone using the given formula.
Surface area = πr² + πrl
Substituting the given values:
Surface area = π(4)² + π(4)(6)
= π(16) + π(24)
= 16π + 24π
= 40π
Now, if we use the approximation 3.14 for π:
Surface area ≈ 40π
≈ 40(3.14)
≈ 125.6
Therefore, the surface area of the cone is approximately 125.6 square units.
What is 175.84 rounded to the nearest tenth?
175.84 rounded to the nearest tenth would be 175.8
Find the volume of the cylinder, in cubic meters. Round your answer to the nearest hundredth.
Height = 13 mm
Radius = 8 mm
Height = 13 mm
Radius = 8 mm
To find the volume of a cylinder, we can use the formula:
Volume = πr²h
where r is the radius and h is the height.
Given that the radius is 8 mm and the height is 13 mm, we can substitute these values into the formula:
Volume = π(8)²(13)
= π(64)(13)
= 832π
Using the approximation 3.14 for π, we can calculate the volume:
Volume ≈ 832π
≈ 832(3.14)
≈ 2612.48
Therefore, the volume of the cylinder is approximately 2612.48 cubic millimeters.
Volume = πr²h
where r is the radius and h is the height.
Given that the radius is 8 mm and the height is 13 mm, we can substitute these values into the formula:
Volume = π(8)²(13)
= π(64)(13)
= 832π
Using the approximation 3.14 for π, we can calculate the volume:
Volume ≈ 832π
≈ 832(3.14)
≈ 2612.48
Therefore, the volume of the cylinder is approximately 2612.48 cubic millimeters.
1 answer