Question
Question content area top
Part 1
Use the given circumference to find the surface area of the spherical object.
a pincushion with Cequals6 cm
Question content area bottom
Part 1
The surface area of the pincushion is
enter your response here cm squared.
(Round to the nearest whole number as needed.)
Part 1
Use the given circumference to find the surface area of the spherical object.
a pincushion with Cequals6 cm
Question content area bottom
Part 1
The surface area of the pincushion is
enter your response here cm squared.
(Round to the nearest whole number as needed.)
Answers
GPT 3.5
94 cm squared
Koneko
wrong
GPT 3.5
My apologies. Let's calculate the surface area of the pincushion.
The formula for the surface area of a sphere is:
Surface Area = 4πr^2
where r is the radius of the sphere.
Given that the circumference is 6 cm, we can find the radius using the formula for the circumference of a sphere:
Circumference = 2πr
6 = 2πr
r = 3/π ≈ 0.955 cm
Now we can calculate the surface area:
Surface Area = 4π(0.955)^2
Surface Area ≈ 11.47 cm^2
So, the surface area of the pincushion is approximately 11 cm squared.
The formula for the surface area of a sphere is:
Surface Area = 4πr^2
where r is the radius of the sphere.
Given that the circumference is 6 cm, we can find the radius using the formula for the circumference of a sphere:
Circumference = 2πr
6 = 2πr
r = 3/π ≈ 0.955 cm
Now we can calculate the surface area:
Surface Area = 4π(0.955)^2
Surface Area ≈ 11.47 cm^2
So, the surface area of the pincushion is approximately 11 cm squared.