The surface area of spherical ball of radius r is given by the formula S=4(22/7)r2. Find surface area of ball of diameter 12cm.
S=4(22/7)r^2
S = 4(22/7)(36)
S = (22/7)144
S = 3168/7
S = 452.57 sq. cm
To find the surface area of a ball of diameter 12 cm, we first need to find the radius of the ball.
We know that the diameter (D) is equal to 12 cm. The radius (r) is half of the diameter, so r = D/2.
Substituting the given value, we have r = 12 cm / 2 = 6 cm.
Now, we can use the formula for the surface area of a sphere, which is given by:
S = 4(22/7)r^2
Substituting the value of r, we have:
S = 4(22/7)(6 cm)^2
Simplifying the expression inside the parentheses:
S = 4(22/7)(36 cm^2)
Simplifying further:
S = (4 * 22 * 36) / 7 cm^2
Evaluating the expression:
S = (3168) / 7 cm^2
Finally, dividing:
S ≈ 452.57 cm^2
Therefore, the surface area of a ball with a diameter of 12 cm is approximately 452.57 cm^2.