Find the surface area of a cylinder with a radius of 5 in and a height of 10 in

3 answers

The surface area of a cylinder can be calculated using the formula:

Surface Area = 2πr^2 + 2πrh

Given that the radius (r) is 5 inches and the height (h) is 10 inches, we can substitute these values into the formula:

Surface Area = 2π(5^2) + 2π(5)(10)

Calculating the values inside the parentheses first:

Surface Area = 2π(25) + 2π(5)(10)
Surface Area = 50π + 100π

Combining like terms:

Surface Area = 150π

Therefore, the surface area of the cylinder is 150π square inches. Note that this is an exact value; if you want an approximate value, you can multiply 150π by the approximation of π, which is roughly 3.14.
FInd the surface area of a cylinder with a radius of 7yd and a height of 8yd
To find the surface area of a cylinder, we use the formula:

Surface Area = 2πr^2 + 2πrh

Given that the radius (r) is 7 yards and the height (h) is 8 yards, we can substitute these values into the formula:

Surface Area = 2π(7^2) + 2π(7)(8)

Calculating the values inside the parentheses first:

Surface Area = 2π(49) + 2π(7)(8)
Surface Area = 98π + 112π

Combining like terms:

Surface Area = 210π

Therefore, the surface area of the cylinder is 210π square yards. This is an exact value; if you want an approximate value, you can multiply 210π by the approximation of π, which is roughly 3.14.