Question

question 11 find the surface area and volume of the sphere. round answer to 2 decimal places if needed. surface area of sphere = volume of sphere =

Explanation:

Step1: Identify the radius

The diameter of the sphere is 18, so the radius \( r=\frac{18}{2} = 9\).

Step2: Calculate surface area

The formula for the surface area of a sphere is \( SA = 4\pi r^{2}\). Substitute \( r = 9\):
\( SA=4\pi(9)^{2}=4\pi\times81 = 324\pi\approx324\times3.1416\approx1017.88\)

Step3: Calculate volume

The formula for the volume of a sphere is \( V=\frac{4}{3}\pi r^{3}\). Substitute \( r = 9\):
\( V=\frac{4}{3}\pi(9)^{3}=\frac{4}{3}\pi\times729 = 972\pi\approx972\times3.1416\approx3053.63\)

Answer:

Surface Area of Sphere = \( 1017.88 \)
Volume of Sphere = \( 3053.63 \)