Answer:
64π
Explanation:
To calculate the surface area (S.A) of the circle with a radius (r) of 4 inches and a height (h) of 6 inches, we need to consider both the curved surface area (lateral surface area) and the area of the circular base.
The curved surface area, also known as the lateral surface area, is calculated using the formula:
L.A = 2πrh
Substituting the given values, we have:
L.A = 2π(4)(6)
L.A = 48π square inches
The area of the circular base is calculated using the formula:
A = πr^2
Substituting the given radius, we have:
A = π(4^2)
A = 16π square inches
To find the total surface area (S.A), we need to sum the lateral surface area (L.A) and the area of the circular base (A):
S.A = L.A + A
S.A = 48π + 16π
S.A = 64π square inches
Therefore, the surface area (S.A) of the given circle is 64π square inches.