Half a Sphere
Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 28 of 62.
A hemisphere is half a sphere, so it holds half a sphere's volume. Half of 4/3 is 2/3.
This bowl has radius 6, so r^3 = 216. Its volume is 2/3 × pi × 216 = 144×pi. The whole ball of radius 6 would hold twice that, 288π.
The rule is Volume of a hemisphere: V = 2/3 × pi × r^3. The radius is still cubed, and the result is always exactly half the sphere's.
Challenge
Find the exact volume of the hemisphere, then press Check.
Try it yourself
Find the marked part of the figure
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Surface Area & Volume
1Solids and Their Parts
Faces, Edges and VerticesPrisms and CylindersPyramids and ConesHeight or Slant Height?Spheres and HemispheresRecap: Parts of Solids4Pyramids
Volume of a PyramidThe Slant HeightHeight From the SlantHeight From the VolumeRecap: Pyramids2Volume of Prisms
Volume of a CuboidVolume of a PrismAny Triangle EndA Missing EdgeRecap: Prism Volume3Cylinders
Volume of a CylinderHeight From the VolumeRadius From the VolumeEnough to Find It?Recap: Cylinders6Spheres and Hemispheres
Volume of a SphereHalf a SphereRadius From the VolumeSphere in a CylinderRecap: Spheres9Pyramids and Cones Outside
Surface of a PyramidSlant Height FirstSurface of a ConeThe Cone: Slant FirstRecap: Pyramid Surfaces