pdf Surface Area Of A Sphere

Tagged in 8.G, 8.G.C, 8.G.C.9, 8th grade, exponents, geometry, geometry worksheet, HSG.GMD, HSG.GMD.A, HSG.GMD.A.3, spheres, surface area, surface area of a sphere, surface area of spheres

Surface Area Of A Sphere

This worksheet provides students with practice finding the surface area of spheres using the formula \(SA=4\pi r^2\). Students calculate surface area using \(3.14\) as an approximation for \(\pi\) and round their answers to the nearest tenth, helping them develop fluency with geometric formulas, exponents, and numerical computation.

The resource includes two worked examples that model the process of substituting the radius into the formula, squaring the radius, multiplying by \(4\pi\), and calculating the final surface area. Students then apply the formula to fourteen spheres with a variety of radius measurements and units, reinforcing both procedural fluency and conceptual understanding.

The progression of problems includes both small and large radius values, allowing students to observe how changes in the radius dramatically affect surface area because the radius is squared. The variety of measurements and units also encourages students to develop precision and confidence when applying geometry formulas.

This resource works well for classroom instruction, guided practice, independent practice, homework, intervention, review, or assessment of geometry concepts involving spheres and surface area.


Skills Assessed

  • Finding the surface area of spheres
  • Using the formula \(SA=4\pi r^2\)
  • Applying powers and exponents in geometry formulas
  • Using \(3.14\) as an approximation for \(\pi\)
  • Rounding decimal answers to the nearest tenth
  • Developing precision in geometric calculations

Details

  • 4 pages
  • 14 surface area problems
  • Uses decimal approximations of \(\pi\)
  • Two worked examples included
  • Answer key included

ID# 0165