nam and bradon each have a cylinder canister of chips. nam's cylinder has a diameter of 7 inches and a height of 13 iches breadon's cylinder has a diamiter of 5 inches and a height of 20 inches whose cylinder has a larger surface area
It's the last question i don't get it
pls help its 11:48 pm
Surface Area Formula: A=2πrh+2πr^2
Nam's Cylinder:
Diameter = 7 inches
Height = 13 inches
Radius=Diameter/2 = 3.5
Bradon's Cylinder:
Diameter = 5 inches
Height = 20 inches
Radius=Diameter/2 = 2.5
Nam's Cylinders Surface Area:
SA=2πrh+2πr^2
SA=2π(3.5)(12)+2π(3.5)^2
SA≈340.8628inches^2
Bradon's Cylinders Surface Area:
SA=2πrh+2πr^2
SA=2π(2.5)(20)+2π(2.5)^2
SA≈353.42917inches^2
Nam's cylinder's surface area is approximately 341inches^2 and Bradon's cylinder's surface area is approximately 353inches^2.
Therefore, Bradon's cylinder has the larger surface area.
To find out whose cylinder has a larger surface area, we can use the formula for the surface area of a cylinder, which is given by:
Surface Area = 2πr² + 2πrh
Where:
- "π" represents the mathematical constant Pi (approximately 3.14)
- "r" represents the radius of the cylinder base
- "h" represents the height of the cylinder
Let's calculate the surface area for both Nam's and Bradon's cylinders and compare them.
For Nam's cylinder:
- Diameter = 7 inches
- Radius (r) = Diameter / 2 = 7 / 2 = 3.5 inches
- Height (h) = 13 inches
Surface Area of Nam's cylinder = 2π(3.5)² + 2π(3.5)(13)
For Bradon's cylinder:
- Diameter = 5 inches
- Radius (r) = Diameter / 2 = 5 / 2 = 2.5 inches
- Height (h) = 20 inches
Surface Area of Bradon's cylinder = 2π(2.5)² + 2π(2.5)(20)
Now, we can calculate the surface areas:
Surface Area of Nam's cylinder ≈ 2 x 3.14 x (3.5)² + 2 x 3.14 x (3.5) x (13)
Surface Area of Bradon's cylinder ≈ 2 x 3.14 x (2.5)² + 2 x 3.14 x (2.5) x (20)
By performing the calculations, we can determine whose cylinder has a larger surface area.