the image shows a tilted cylinder with a radius of 5 cm and a height of 15 cm. find the surface area of the cylinder below use approximation 3.14 for pi
1,099 square centimeters
533.8 square centimeters
628 centimeters
628 square centimeters
To find the surface area of the cylinder, we need to calculate the areas of the top and bottom circles, as well as the curved surface area.
The area of a circle is given by the formula A = πr^2, where r is the radius.
The top and bottom circles of the cylinder have the same radius of 5 cm, so their areas are:
A_circle = πr^2 = 3.14 * 5^2 = 3.14 * 25 = 78.5 cm^2
The curved surface area of a cylinder is given by the formula A = 2πrh, where r is the radius and h is the height.
A_curved surface = 2πrh = 2 * 3.14 * 5 * 15 = 3.14 * 150 = 471 cm^2
Now, to find the total surface area, we add the areas of the top and bottom circles to the curved surface area:
Total surface area = 2(A_circle) + A_curved surface = 2(78.5) + 471 = 157 + 471 = 628 cm^2
Therefore, the surface area of the cylinder is 628 square centimeters.
find the volume of the cylinder in cubic millimeters round to answer to the nearest hundredth. the cylinder has a radius of 8 mm and a height of 13 mm
To find the volume of the cylinder, we use the formula V = πr^2h, where r is the radius and h is the height.
Given: radius = 8 mm, height = 13 mm
Substituting these values into the formula, we have:
V = π * 8^2 * 13
= 3.14 * 64 * 13
= 2630.88 mm^3
Rounding to the nearest hundredth, the volume of the cylinder is approximately 2630.88 mm^3.
you sure?
Apologies for the mistake in my previous response.
To find the volume of the cylinder, we use the formula V = πr^2h, where r is the radius and h is the height.
Given: radius = 8 mm, height = 13 mm
Substituting these values into the formula, we have:
V = π * 8^2 * 13
= 3.14 * 64 * 13
= 2631.52 mm^3
Rounding to the nearest hundredth, the volume of the cylinder is approximately 2631.52 mm^3.