Dale Copy of Surface Area & Volume - Sphere

Author:: Dan Dale, GeoGebra Materials Team, Rea T Xenja

Topic:: Area, Sphere, Surface, Volume

Use this worksheet to practice finding the Volume and Surface Area of a Sphere. Adjust the radius using the labeled slider. Answer the questions below. The multi-colored switches can be used to check your work. Note: answers given are in terms of pi and approximations.

1.Find the volume and surface area for 5 different Spheres by randomly choosing different radii.

Radius _____, Surface Area ___________, Volume _____________
Radius _____, Surface Area ___________, Volume _____________
Radius _____, Surface Area ___________, Volume _____________
Radius _____, Surface Area ___________, Volume _____________
Radius _____, Surface Area ___________, Volume _____________

Example #1. Find the surface area of a sphere with a radius of 1 mm.

Example #2. Find the surface area of a sphere with a radius of 2 mm.

Example #3. Find the surface area of a sphere with a radius of 6 m.

Use the formula to find the surface area of the following spheres. Remember that surface area is the number of squares that it will take to completely cover the object.

SA = 4

r²

You try #1. Find the surface area of a sphere with a radius of 8 in. Use 3.14 for pi.

You try #2. Find the surface area of a sphere with a radius of 11 in. Use 3.14 for pi.

You try #3. Find the surface area of a sphere with a diameter of 12 ft. Use 3.14 for pi.

Your answers for the 3 surface area problems. All answers should be in squared units. Place your answers in the solution box below.

1. _____________________________ 2._____________________________ 3. ____________________________