This math topic focuses on calculating the surface area of spheres, an advanced geometry concept involving 3D shapes. The problems require applying the formula for the surface area of a sphere \( SA = 4\pi r^2 \), where \( r \) is the radius. Problems entail determining the correct computation given different sphere radii (2, 4, 5, and 3 units). Additionally, there are multiple-choice options where students must choose the correct formulation among other expressions, which may be distractions incorporating irrelevant calculations, such as volume expressions or unrelated geometric formulae.

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Surface Area - Sphere - Words to Pi Value Worksheet

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Math worksheet on 'Surface Area - Sphere - Words to Pi Value (Level 1)'. Part of a broader unit on 'Geometry - Volume and Surface Area of Complex 3D Shapes - Advanced' Learn online: app.mobius.academy/math/units/geometry_complex_3d_shapes_advanced/
1
What is the surface area of this shape?
A Sphere with radius 2
a A LaTex expression showing SA = 4 over 3 Pi 2 to the power of 3
b A LaTex expression showing SA = 4 Pi times 2 to the power of 2
2
What is the surface area of this shape?
A Sphere with radius 4
a A LaTex expression showing SA = 4 Pi times 4 to the power of 2
b A LaTex expression showing SA = 3 times 4 + 3 times square root of (4 over 2 ) to the power of 2 + 5 to the power of 2 } + 4 times square root of (3 over 2 ) to the power of 2 + 5 to the power of 2 }
3
What is the surface area of this shape?
A Sphere with radius 5
a A LaTex expression showing SA = 4 Pi times 5 to the power of 2
b A LaTex expression showing SA = 4 over 3 Pi 5 to the power of 3
4
What is the surface area of this shape?
A Sphere with radius 3
a A LaTex expression showing SA = 4 Pi times 3 to the power of 2
b A LaTex expression showing SA = Pi times 3 times (3 + square root of 4 to the power of 2 + 3 to the power of 2 )
Surface Area - Sphere - Words to Pi Value (Level 1) - Mobius Math Academy