Use the given circumference to find the surface area of the spherical object.

Question

a pincushion with Cequals6 cm
Question content area bottom
Part 1
The surface area of the pincushion is
  
11 cm squared.
​(Round to the nearest whole number as​ needed.)

Answer 1

To find the surface area of a spherical object, we use the formula:
Surface Area = 4πr^2

First, we need to find the radius of the spherical object using the given circumference, C = 6 cm.
Circumference = 2πr
6 cm = 2πr
r = 3 cm

Now, we can plug in the radius into the formula:
Surface Area = 4π(3)^2
Surface Area = 4π(9)
Surface Area = 36π

To find the numerical value, we can use the approximate value of π which is 3.14.
Surface Area ≈ 36 * 3.14
Surface Area ≈ 113.04

Therefore, the surface area of the pincushion is approximately 113 cm squared.