Find the surface area of a cylinder with a radius of 4 cm and a height of 2 cm. Use the approximation of 3.14 for pi.
The formula for the surface area of cylinder is given by:
Surface Area = 2πr^2 + 2πrh
Given that the radius (r) is 4 cm and the height (h) is 2 cm, we can substitute these values into the formula and calculate the surface area.
Surface Area = 2π(4^2) + 2π(4)(2)
Surface Area = 2π(16) + 2π(8)
Surface Area = 32π + 16π
Since the approximation of π is given as 3.14, we can substitute this value into the equation.
Surface Area = 32(3.14) + 16(3.14)
Surface Area = 100.48 + 50.24
Surface Area ≈ 150.72 cm^2
whats the square centimeters?
The surface area of the cylinder is approximately 150.72 square centimeters.
Find the surface area of a cylinder with a diameter of 12 inches and height of 10 inches. Use the approximation of 3.14 for pi.(1 point)
To find the surface area of a cylinder, we need to add the areas of the two bases and the lateral surface area.
1. Start by finding the area of each base. The formula to find the area of a circle is A = π * r^2, where A is the area and r is the radius.
Plugging in the given radius of 4 cm:
A_base = 3.14 * 4^2
= 3.14 * 16
= 50.24 square centimeters
2. Next, find the lateral surface area of the cylinder. The formula for this is A_lateral = 2 * π * r * h, where h is the height of the cylinder.
Plugging in the given radius of 4 cm and height of 2 cm:
A_lateral = 2 * 3.14 * 4 * 2
= 2 * 3.14 * 8
= 50.24 square centimeters
3. Finally, add the two base areas and the lateral surface area:
Surface area = 2 * A_base + A_lateral
= 2 * 50.24 + 50.24
= 100.48 + 50.24
= 150.72 square centimeters
Therefore, the surface area of the cylinder is approximately 150.72 square centimeters.