calculate the area of a cylinder with a height of 60 cm and a circumference of 62.8
4396 cm² & 4.396 cm²
curcumference is 2(pi)r
62.8=2(pi)r
r=9.995
A=2(pi)rh+2(pi)r^2
=[2*(pi)*(9.995)*60]+[2*pi*(9.995^2)]
about 4396 cm^3 OR 43.96 m^3
To calculate the area of a cylinder, you need to know the formula:
Area = 2πr(r + h)
Where:
- π (pi) is a mathematical constant approximately equal to 3.14159
- r is the radius of the base of the cylinder
- h is the height of the cylinder
In this case, you are given the circumference (C) of the base of the cylinder, which is related to its radius (r) by the formula:
C = 2πr
To find the radius, rearrange the formula:
r = C / (2π)
Given that the circumference (C) is 62.8, we can calculate the radius:
r = 62.8 / (2 * 3.14159)
r ≈ 9.99998 cm
Using the radius (r) and the height (h) of the cylinder, we can now calculate the area:
Area = 2 * 3.14159 * 9.99998 * (9.99998 + 60)
Area ≈ 1884.955 cm²
Hence, the area of the cylinder is approximately 1884.955 cm².
To calculate the surface area of a cylinder, we need to know the formula. The formula for the surface area of a cylinder is given by:
Surface Area = 2πr^2 + 2πrh
Where:
- π (pi) is a mathematical constant approximately equal to 3.14159
- r is the radius of the base of the cylinder
- h is the height of the cylinder
In this case, we are given the height (h) of the cylinder as 60 cm and the circumference, which is equal to the circumference of the base, as 62.8 cm.
To find the radius (r), we need to use the formula for circumference:
Circumference = 2πr
Rearranging the equation, we get:
r = Circumference / (2π)
Now, substitute the given values:
r = 62.8 / (2π) ≈ 10 cm
With the radius (r) and height (h) of the cylinder, we can now calculate the surface area:
Surface Area = 2πr^2 + 2πrh = 2π(10 cm)^2 + 2π(10 cm)(60 cm)
Calculating this equation will give us the surface area of the cylinder.