This math topic covers advanced concepts in calculating the surface area of various three-dimensional circular shapes, including cylinders, spheres, and cones. It requires understanding and applying formulas for surface area in different geometrical configurations and translating abstract problems into mathematical expressions. Each question provides multiple formulas as potential answers, challenging students to identify the correct calculation for the surface areas based on given dimensions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Surface Area - All Circular - Words to Pi Value Worksheet

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Math worksheet on 'Surface Area - All Circular - 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 Cylinder with radius 4 and height 5
a A LaTex expression showing SA = Pi times 4 to the power of 2 times 5
b A LaTex expression showing SA = 2 Pi times 4 times 5 + 2 Pi 4 to the power of 2
2
What is the surface area of this shape?
A Sphere with radius 3
a A LaTex expression showing SA = 4 over 3 Pi 3 to the power of 3
b A LaTex expression showing SA = 4 Pi times 3 to the power of 2
3
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 = 2 Pi times 4 times 5 + 2 Pi 4 to the power of 2
4
What is the surface area of this shape?
A Cone with radius 4 and a height of 3
a 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 )
b A LaTex expression showing SA = Pi times 4 times (4 + square root of 3 to the power of 2 + 4 to the power of 2 )
5
What is the surface area of this shape?
A Sphere with radius 5
a A LaTex expression showing SA = 4 over 3 Pi 5 to the power of 3
b A LaTex expression showing SA = 4 Pi times 5 to the power of 2
6
What is the surface area of this shape?
A Cylinder with radius 2 and height 4
a A LaTex expression showing SA = 2 Pi times 2 times 4 + 2 Pi 2 to the power of 2
b A LaTex expression showing SA = 2 Pi times 4 times 2 + 2 Pi 4 to the power of 2
7
What is the surface area of this shape?
A Cylinder with radius 3 and height 5
a A LaTex expression showing SA = 2 Pi times 3 times 5 + 2 Pi 3 to the power of 2
b A LaTex expression showing SA = 2 Pi times 5 times 3 + 2 Pi 5 to the power of 2