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Surface Area of Cylinder=2πrh+2πr2

Where r
is the radius of the cylinder and h
is the height of the cylinder. Find the surface area when r
is 3 inches and h
is 5 inches.

A. 50π
in²

User Muntu
by
8.1k points

1 Answer

2 votes

Answer:

The surface area of a cylinder can be calculated using the formula: Surface Area of Cylinder = 2πrh + 2πr^2, where r is the radius of the cylinder and h is the height of the cylinder.

To find the surface area when r is 3 inches and h is 5 inches, we can substitute these values into the formula.

Step 1: Calculate the first term of the formula: 2πrh

Substitute r = 3 inches and h = 5 inches into the formula:

2π(3)(5) = 30π

Step 2: Calculate the second term of the formula: 2πr^2

Substitute r = 3 inches into the formula:

2π(3)^2 = 18π

Step 3: Add the two terms together to find the total surface area:

30π + 18π = 48π

Therefore, when the radius is 3 inches and the height is 5 inches, the surface area of the cylinder is 48π square inches.

User Stephen Sprinkle
by
7.6k points