Question

A sphere has a diameter of 4.5 cm
. What is the surface area of the sphere in terms of π
?

(1 point)
square centimeters.

Answer 1

To find the surface area of a sphere, you can use the formula:

\[
\text{Surface Area} = 4\pi r^2
\]

where \( r \) is the radius of the sphere.

Given that the diameter of the sphere is 4.5 cm, we can find the radius by dividing the diameter by 2:

\[
r = \frac{\text{diameter}}{2} = \frac{4.5 \, \text{cm}}{2} = 2.25 \, \text{cm}
\]

Now, we can substitute \( r \) into the surface area formula:

\[
\text{Surface Area} = 4\pi (2.25)^2
\]

Calculating \( (2.25)^2 \):

\[
(2.25)^2 = 5.0625
\]

Now substitute that back into the surface area formula:

\[
\text{Surface Area} = 4\pi \times 5.0625 = 20.25\pi
\]

Thus, the surface area of the sphere in terms of \( \pi \) is:

\[
\text{Surface Area} = 20.25\pi \, \text{square centimeters}
\]