Surface Area & Volume - Sphere

Author:
Rea T Xenja, GeoGebra Materials Team
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.
GeoGebra Applet
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 _____________
2. Find the missing dimension. Round to the nearest unit. a. Sphere: volume 296 cu in, diameter___ b. Sphere: surface area 179 sq in, radius___ 3. Packaging: Tennis balls with a diameter of 2.5 in are sold in cans with three tennis balls in each can. The can is a cylinder. The balls touch the can on the sides, the top, and the bottom. What is the volume of the space in the can that is not occupied by tennis balls?

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